Question

PLEASE HELP ASAP 20 POINTS

Find the vertex. Show your steps: 8x^2+10x+4

Answer 1

(-5/8, 7/8)

Explanation:

8x² + 10x + 4

8(x² + 10/8 x) + 4

8[x² + 2(x)(5/8) + (5/8)² - (5/8)²] + 4

8(x + 5/8)² - 8(25/64) + 4

8(x × 5/8)² - 25/8 + 4

8(x + 5/8)² + 7/8

Vertex: (-5/8, 7/8)

Answer 2

(-5/8 , 7/8)

Explanation:

We can find the x coordinates of the vertex from

h = -b/2a where b is the 10 and a is 8

h = -10/2(8)

= -10/16 = -5/8

Substitute this in to find the y value

y = 8(-5/8)^2 +10(-5/8) +4

= 8(25/64) -50/8 + 4

= 25/8 - 50/8 + 32/8

=7/8