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 2021-01-30 Answered
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
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Expert Answer

Alix Ortiz
Answered 2021-01-31 Author has 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
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