Y 4x2 8x 2 y 2x2 8x 7Solution2 y 4x2 8x 21 we know the

Y = 4x^2 + 8x +2 y = 2x^2 + 8x +7

(2) y = 4x² + 8x +2........(1)

we know the standard equation :

y = ax² + bx +c...........(2)

Now, compare equation 1 to 2, we get:

a = 4, b = 8, c = 2

vertex is ( x ,y )

so x = -b/2a = -8/2*4

= -8/8 = -1

Now use -b/2a to find x

axis of symmetry x = -b/2a

so x = -1

now put x = -1 into the equation, we get:

y = 4(-1)² +8(-1) +2

y = 4-8+2

y = -2

Hence vertex is : (x,y) = ( -1,-2)

(4) y = 2x² + 8x +7........(1)

The standard equation :

y = ax² + bx +c...........(2)

Now, compare equation 1 to 2, we get:

a = 2, b = 8, c = 7

vertex is ( x , y )

so x = -b/2a = -8/2*2

= -8/4 = -2

Now use -b/2a to find x

axis of symmetry x = -b/2a

so x = -2

now put x = -2 into the equation, we get:

y = 4(-2)² +8(-2) +7

y = 16-16+7

y = 7

Hence vertex is : (x,y) = ( -2,7)