Use the following quadratic function to answer the question below: y=x^2-14x+5 a. Showing all work, find the vertwx of the quadratic. b. Write the quadratic in the vertex form

BenoguigoliB

BenoguigoliB

Answered question

2021-01-30

Use the following quadratic function to answer the question below: y=x214x+5
a. Showing all work, find the vertwx of the quadratic.
b. Write the quadratic in the vertex form

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-01-31Added 109 answers

(a) find the vertex of the quadratic.
the quadratic function can be written as:
y=x214x+5
y=x214x+7272+5
y=x22(x)(7)+7249+5
y=(x7)244 (1)
as we know that the quadratic function y=ax2+bx+c in standard form can be written in vertex form having vertex at (h,k) as:
y=a(xh)2+k
therefore by comparing (1) with the equation y=a(xh)2+k, we get
a=1, h=7 and k=−44
therefore the vertex of the quadratic is (h,k)=(7,−44)
(b) write the quadratic in vertex form.
the equation (1) is the equation of the quadratic in vertex form.
therefore the equation of the given quadratic in vertex form is:
y=(x7)244

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?