The graph of y= h(x) is shown. Draw the graph of y=h(2x) +3

Question

The original coordinates are (0,0) (-4,0) (-2,-4)

Answer 1

The point (0,0) being on function h means h(0) = 0.

Similarly, h(-4) = 0 and h(-2) = -4.

Now to draw the graph, plug in -1 for x.

We get y = h(2*-1) + 3

y = h(-2) + 3.

We know that h(-2) = -4

Therefore, y = (-4) + 3 = -1

So when we plugged in -1 for x, y equaled -1.

Therefore, a point on the new graph is (-1, -1)

To find the other two points on the new graph plug in 0 and -2 for x.