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kompoz [17]
3 years ago
7

What’s 8x squared + 4 in vertex form

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

expression  8x squared + 4  or , 8x^2+4 in the vertex form is  8(x+0)^2+4 .

<u>Step-by-step explanation:</u>

Here we have , to convert expression  8x squared + 4  or , 8x^2+4 in the vertex form . Let's find out:

Let  y=8x^2+4 ,

⇒   y=8x^2+0(x)+4

Comparing this equation with y = ax^2+bx+c we get ;

a=8\\b=0\\c=4

Now , We know that  the vertex form of a parabola is ;

⇒ a(x+d)^2+e     ............(1)

Substitute the values of  a  and  b  into the formula d =\frac{b}{2a}

⇒ d=\frac{0}{2(8)} =0

Now , Value of e is ;

⇒ e= c- \frac{b^2}{4a}

⇒ e=4

Putting value of a, d ,e in equation (1) we get ;

⇒ a(x+d)^2+e  

⇒ 8(x+0)^2+4

Therefore ,  expression  8x squared + 4  or , 8x^2+4 in the vertex form is  8(x+0)^2+4 .

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