Answer:
(-5/8 , 7/8)
Step-by-step 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
Answer:
(-5/8, 7/8)
Step-by-step 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)
