The following equation of a quadratic function is given in standard form. f(x) = 2x² -...
+ 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
the vertex of the quadratic function f(x)=-2x? - 20x+8 by completing the square and writing in the vertex form f(x) = a(x-h)+k.
Use the ALEKS graphing calculator to find the x-intercept(s) and vertex for the quadratic function. f(x) = -4x²–2x+3 Round to the nearest hundredth if necessary. If there is more than one x-intercept, separate them with commas. If applicable, click on "None". 00.... None X-intercept(s): vertex: 1 00 X ?
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...
This Question: 5 pts Use the quadratic function f(x)- -x +2x-8 to address t a) Use the vertex formula to determine the vertex The vertex is Type an ordered pair. Simplify your answer) b) Does the graph "open up" or "open down"? O Down O Up c) What is the equation of the axis of symmetry? Simplify your answer.)
10 For the given equation and graph of the quadratic function, do each of the following. Complete parts (a) through (e). f(x) = -2(x - 5y2 + 2 a. Give the domain and range. The domain is (Type your answer in interval notation.) The range is (Type your answer in interval notation.) M h -10-8-82 2 -4 -6 -B 10 b. Give the coordinates of the vertex. The vertex is (Type an ordered pair.) c. Give the equation of the...
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...
A quadratic function f is given. flx) = -x2. 4x 3 (a) Express f in transformation form. f(x) (b) Find the vertex and x and y-intercepts of f. (If an answer does not exist, enter DNE.) (x, y) vertex (x, y) (smaller x-value) x-intercepts (x, y) (larger x-value) (x, y) yintercept (c) Sketch a graph of f. Tools Actions Clear Al 1. Select an object from the Tools menu to the left. Delato 2. Enter coordinates in Object Properties below,...
Consider the quadratic function: f(x)=2x^2−8x+2 . Find the following for this parabola. A) The line of symmetry: B) The vertex: C) The vertical intercept is the point D) Give the coordinates of the two xx intercepts of the parabola as ordered pairs.
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.