What is the vertex of y= −4x^2 -7x + 1 ?

1 Answer
May 23, 2017

From vertex form, the vertex is at (-7/8 , 65/16), which can be written as (-.875, 4.0625)

Explanation:

y = -4x^2-7x+1

Factor out the -4
y= -4 [x^2 + 7/4x -1/4]

y = -4 [(x+7/8x)^2-49/64 - 1/4]

y = -4 [(x+7/8x)^2-(49 + 16)/64]

y = -4 [(x+7/8)^2 - 65/64]

y = -4(x+ 7/8)^2 + 65/16

From vertex form, the vertex is at (-7/8 , 65/16), which can be written as (-.875, 4.0625)