Question
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
f(x) = −16x2 + 24x + 16
f(x) = −16x2 + 24x + 16
Answers
oobleck
f(x) = -16(x^2 - 3/2 x) + 16
= -16(x^2 - 3/2 x + 9/16) + 16 + 9
= -16(x - 3/4)^2 + 25
So the vertex is at (3/4, 25), and the graph is symmetric about the line x = 3/4
= -16(x^2 - 3/2 x + 9/16) + 16 + 9
= -16(x - 3/4)^2 + 25
So the vertex is at (3/4, 25), and the graph is symmetric about the line x = 3/4