What is the vertex of the quadratic y = 6 ( x − 2 ) 2 + 10?

Mylo O'Moore

Mylo O'Moore

Answered question

2021-02-22

What is the vertex of the quadratic y=6(x2)2+10?

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-02-23Added 100 answers

Given quadratic equation ,
y=6(x2)2+10
On simplifying,
y=6(x2+44x)+10
y=6x224x+24+10 (1)
y=6x224x+34
Now, this equation compare with general quadratic equation,
ax2+bx+c
a = 6 , b = -24 , c = 34
h=b2a
=2426
= 2
Now putting x= 2 in equation (i), then we get
y=622242+34
y = 24 - 48 + 34
y = 10
(2, 10) is the vertex of given quadratic equation.

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