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1)

The graph of y=f(x) is shown in red below. For how many values of c is f(c) = -1?

(Assume grid lines are spaced 1 unit apart.)

2)

For what values of j does the equation (2x+7)(x-5) = -43 + jx have exactly one real solution? Express your answer as a list of numbers, separated by commas.

3)

The graph of y = f(x) is shown below. Assume the domain of f is [-4,4] and that the vertical spacing of grid lines is the same as the horizontal spacing of grid lines.

Part (a): The points (a,4) and (b,-4) are on the graph of y = f(2x). Find a and b.

Part (b): Find the graph of y=f(2x) Verify that your points from part (a) are on the graph.

Part (c): The points (c,4) and (d,-4) are on the graph of y = f(2x-8). Find c and d.


Part (d): Find the graph of y = f(2x-8). Be sure to verify that your points from part (c) are on the graph both algebraically and geometrically.

 

Please include graphs in your explanation for this one

thanks!

 Mar 18, 2020
edited by daddypig  Mar 18, 2020
 #1
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1) f(c) = -1 for 2 values of x.

 

2) The possible values of j are -13 and 7.

 May 2, 2020

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