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Question 12 (3 points) Match the quadratic equation with the form it represents. y = -5...
+ 6/7 points Previous Answers ColAlg7 3.1.009. A quadratic function f is given. f(x) = x2...
+ 6/7 points Previous Answers ColAlg7 3.1.009. A quadratic function f is given. f(x) = x2 - 2x + 6 (a) Express fin standard form. f(x) = (x + 1)2 + 5 (b) Find the vertex and x- and y-intercepts of f. (If an answer does no vertex (x, y) = ( 1,5 x-intercept (x, y) = ( DNE y-intercept (x, y) = 0.6
15. Which of the following represents the standard form of the circle equation below? y? +...
15. Which of the following represents the standard form of the circle equation below? y? + 2x + x2 = 24 y - 120 A. (x + 12)2 + (x + 1)2 = 25 B. (x + 1)+ (y + 12)2 = 5 C. (x + 1)2 + (- 12)2 = 25 D. (x - 12)2 + (y + 1)2 = 5
6. Match the following equations to the graph that represents it. [4 Points] Equation A: y...
6. Match the following equations to the graph that represents it. [4 Points] Equation A: y = x2 + 2 Equation B: y = -x + 2 Equation C: y = (x - 2)2 Equation D: y = 2x2 y 37 Y 3 -3 3 X -3 LL 3 3 x -11 Equation: Equation: Equation: Equation: 7. Let f(x) = Vx. Write the equation for the resulting function when the following transformations are performed in order) onf (x): [3 Points]...
Which of the following statements is not true for the equation of a quadratic function? In...
Which of the following statements is not true for the equation of a quadratic function? In standard form, the y-intercept is clearly visible. In vertex form, the break-even points are clearly visible. In factored form, the x-intercepts are clearly visible. In vertex form, the coordinates of the vertex are clearly visible.
Problem 4: (a) (5 points) Find the equation for the line that passes through the points...
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit...
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
For questions 12-17, match the graph with its equation. If it is a quadratic surface, give the name of the surface +3z2...
For questions 12-17, match the graph with its equation. If it is a quadratic surface, give the name of the surface +3z2 = 1 12. [2] 2x2 13. [2] y 4x = 14. [2] x2-z2y 15. [2] 2z x2 4y2 16. [2] 2x22-z2 =1 17. [2] z 4y -x F
For questions 12-17, match the graph with its equation. If it is a quadratic surface, give the name of the surface +3z2 = 1 12. [2] 2x2 13. [2] y...
13. The following quadratic function is written in general form: f(x)=x2-6x-7 a) Write the factored form...
13. The following quadratic function is written in general form: f(x)=x2-6x-7 a) Write the factored form b) Write the vertex form (also known as standard form). c) Find the y-intercept. Which of the three forms listed above is the most useful in identifying the y-intercept and why? d) Find the x-intercepts. Which of the three forms listed above is the most useful in identifying the x-intercepts and why? e) Find the vertex. Which of the three forms listed above is...
The following equation of a quadratic function is given in standard form. f(x) = 2x² -...
The following equation of a quadratic function is given in standard form. f(x) = 2x² - 12x + 21 Find the same equation in vertex form, then enter it below. Round your answers to the nearest tenth if necessary. f(x) = (x - )? +
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2...
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2 9 y Oy2-36x x2 36 y Oy2 = -9x 5. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points) 1 x2 28 1 X = y2 28 -28y x2 Oy2 14x =
9. (2 points) 4. Find the...
+ 6/7 points Previous Answers ColAlg7 3.1.009. A quadratic function f is given. f(x) = x2 - 2x + 6 (a) Express fin standard form. f(x) = (x + 1)2 + 5 (b) Find the vertex and x- and y-intercepts of f. (If an answer does no vertex (x, y) = ( 1,5 x-intercept (x, y) = ( DNE y-intercept (x, y) = 0.6
15. Which of the following represents the standard form of the circle equation below? y? + 2x + x2 = 24 y - 120 A. (x + 12)2 + (x + 1)2 = 25 B. (x + 1)+ (y + 12)2 = 5 C. (x + 1)2 + (- 12)2 = 25 D. (x - 12)2 + (y + 1)2 = 5
6. Match the following equations to the graph that represents it. [4 Points] Equation A: y = x2 + 2 Equation B: y = -x + 2 Equation C: y = (x - 2)2 Equation D: y = 2x2 y 37 Y 3 -3 3 X -3 LL 3 3 x -11 Equation: Equation: Equation: Equation: 7. Let f(x) = Vx. Write the equation for the resulting function when the following transformations are performed in order) onf (x): [3 Points]...
Which of the following statements is not true for the equation of a quadratic function? In standard form, the y-intercept is clearly visible. In vertex form, the break-even points are clearly visible. In factored form, the x-intercepts are clearly visible. In vertex form, the coordinates of the vertex are clearly visible.
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
For questions 12-17, match the graph with its equation. If it is a quadratic surface, give the name of the surface +3z2 = 1 12. [2] 2x2 13. [2] y 4x = 14. [2] x2-z2y 15. [2] 2z x2 4y2 16. [2] 2x22-z2 =1 17. [2] z 4y -x F
For questions 12-17, match the graph with its equation. If it is a quadratic surface, give the name of the surface +3z2 = 1 12. [2] 2x2 13. [2] y...
13. The following quadratic function is written in general form: f(x)=x2-6x-7 a) Write the factored form b) Write the vertex form (also known as standard form). c) Find the y-intercept. Which of the three forms listed above is the most useful in identifying the y-intercept and why? d) Find the x-intercepts. Which of the three forms listed above is the most useful in identifying the x-intercepts and why? e) Find the vertex. Which of the three forms listed above is...
The following equation of a quadratic function is given in standard form. f(x) = 2x² - 12x + 21 Find the same equation in vertex form, then enter it below. Round your answers to the nearest tenth if necessary. f(x) = (x - )? +
9. (2 points) 4. Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y 1 x2 9 y Oy2-36x x2 36 y Oy2 = -9x 5. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. (2 points) 1 x2 28 1 X = y2 28 -28y x2 Oy2 14x =
9. (2 points) 4. Find the...
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