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!