The figure shows a sketch of the curve with equation y = f(x). The curve crosses the x-axis at the points (2, 0) and (4, 0). The minimum point on the curve is P(3, −2). In separate diagrams, sketch the curves with equation

a. y = −f(x)

b. y = f(2x)

On each diagram, give the coordinates of the points at which the curve crosses the x-axis, and the coordinates of the image of P under the given transformation.

Transcribed Image Text:

y 0 P(3,-2) X