Put the following equation into its graphing form by completing the square. a des applet like...
Convert the following quadratic to standard form by completing the square: x2 + 4x + 12y + 4 = 0.
Use the method of completing the square to find the standard form of the quadratic function. f(x) = x2 - 8x + 5 y = State the vertex and axis of symmetry of the graph of the function. axis of symmetry X = vertex (x, y) = Sketch the graph. 30 Graph Layers 27 24 21 After you add an obje can use Graph Layers properties. 18 15 -12 Fill 19 6 3 -30 -27 -24 -21 -18 -15 -12...
3. List the vertex form of the quadratic function and state all relevant information. 4. Convert the quadratic form f(x) +3-4 into standard form (le. multiply t out). Then check your solution to example 2. 5. Continuing with example 2, read the questions and solutions. Paying particular attention to part d. How can we find the axis of symmetry (aka the x-value of the vertex)? 6. (Note: we will not be covering 'completing the square' in this class, but feel...
questions 33 and 34 UID Iz 2 47? 33. Rewrite the equation x2 - 6x - 11 = 0 in graphing form by completing the square. Give the location of the vertex. Use graphing form to solve for x (look for two solutions and don't forget to simplify into simplest radical form). 34. An exponential function goes through the points (2, 2) and (-3, 64). Find the equation of this function. Show all work.
CONIC SECTIONS Graphing a hyperbola given its equation in standard form v + Х Graph the hyperbola. please box where to put points (y+4) (x-5) 1 25 16 14 0 3 UN P 12
Complete the square and write the equation in standard form. Then give the center and radius of the circle. x2 + y2 - 4x + 18y = - 60 O A. (x-2)2 + (y + 9)2 = 25 Center: (-2,9), radius: 25 O B. (x-2)2 + (y + 9)2 = 25 Center (2. -9), radius: 5 OC. (x+9)2 + (y - 2)2 = 25 Center. (-9,2), radius: 5 OD. (x + 9)2 + (x - 2)2 = 25 Center. (9,-2),...
1) Use completing the square method to rewrite f(x) = 4x2 - -x+2 into standard form then state the vertex of the function by looking at its standard form, determine whether it has max/min value and give the value.
Solve the quadratic equation by completing the square. x? +18x+66=0 First, choose the appropriate form and fill in the blanks with the correct numbers. Then, solve the equation. If there is more than one solution, separate them with commas. Form: . 0/0 00... o (v + D² = 0 o (v - D’= 0 X 5 ? Solution: x= -9 + √15, -9 - Vis
1.) Put the conic in standord form by completing the square, please identify which conic it is, and then graph the conic section. Also label each relevant point or asymptotes. Sketch your x - y axis and the conic, and labl the scale on the axes. example sketches: 2.) c. -9x2 + y2 – 72x – 153 = 0 Ex. 1 Sketch (x-5) V =2 center: (5,2) radius: 2 Center , horizontal: 2 units left/right 3 units up/down (1,3) 13,0)...
40 Use the method of completing the square to transform the quadratic equation into the equation form (x -p2-q. ?9 + 12x-6x2 =0 A) (x-1)2??0.5 B) 12- -1.5 C) D) (1)2-1.5 (x-1)2-0.5