Question

The function shown is in the form y= ( x - h)² Determine the value of h.A) -1 B) 1C) 2D) -1/2

Answer 1

INFORMATION:

We have the graph of a function that has the form y = ( x - h)² and we must find the value of h.

STEP BY STEP EXPLANATION:

we can see that the graph is a parabola which its vertex is at the point (2, 0)

Now, having this point we can replace the values of its components in the formula of the function

Since the point is (2, 0), then x = 2 and y = 0

`0=(2-h)^2`

Finally, we must solve the equation for h

`\begin{gathered} 0=(2-h)^(2) \\ \sqrt[]{0}=2-h \\ 0-2=-h \\ 2=h \\ h=2 \end{gathered}`

ANSWER:

C) 2