Consider the function f(x) = -x^2* - 6x + 9. Find the vertex of the graph of the
ID: 3009287 • Letter: C
Question
Consider the function f(x) = -x^2* - 6x + 9. Find the vertex of the graph of the function Find the x- imarets of the graph. Use exact values that are completely simplified. Find the x -intercepts of the graph. Use decimal approximations rounded to the nearest thousandth. The graph of a quadratic function g(x) has vertex (4.2). it is In own that g(6) = 22. Write the formula for g(x) in standard/vertex form g(x) = A(x - h)^2 + k. you should be able to easily find the values of ft. h. Then all you have to do is figure out what A is. Use algebra to Simplify your answer to the previous problem to write the formula for g(x) in the form g{x) = Ax^2 + BX + C.Explanation / Answer
2. g(x) = A(x-h)2 + k
Vertex (4.2) ; g(6) = 22
a. h = 4 , k = 2
g(x) = A(x-4)2 + 2
g(6) = 22
=> 22 = A ( 6 - 4 )2 + 2
=> 20 = 4A
=> A = 5
g(x) = 5 ( x - 4 )2 + 2
b. g(x) = 5(x2 + 16 - 8x) + 2
=> g(x) = 5x2 - 40x + 82