Question

Suppose that the x-intercepts of the graph of y = f(x) are -8 and 1. What are the x-intercepts of the graph of y= −f( x− 3)

Answer 1

A. f(x) = (4x+5)(x-3)

B. Since +4 > 0, the graph opens up

as always, the vertex is at x = -b/2a = 7/8

C. plot the vertex at (7/8, -18 1/16)

pick a point or two, say at x=0,1,2 and plot them. then draw a curve through them.

Explanation:

f(x) = 4x^2 − 7x − 15

Part A: What are the x-intercepts of the graph of f(x)? Show your work.

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.

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.