Identify the vertex, complete the table and graph g(x)=(x−4)^2−5.

foass77W

foass77W

Answered question

2021-02-13

Identify the vertex, complete the table and graph g(x)=(x4)25.

Answer & Explanation

Layton

Layton

Skilled2021-02-14Added 89 answers

The vertex form of a quadratic equation is y=a(xh)2+k where (h,k) is the vertex.
Comparing y=a(xh)2+k and g(x)=(x4)25 gives h=4 and k=−5. The vertex is then (h,k)=(4,−5).
Replace the values of xx on one side of the vertex into g(x) to find the corresponding y-coordinates and complete the table:
x g(x)
5(54)25=15=4
6(64)25=45=1
7(74)25=95=4
8(84)25=165=11
Plot the vertex and the four points from your table. A quadratic is symmetric about its vertex so plot the mirror images of the four points on the other side of the vertex:

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?