Question

Help on this please

Answer 1

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

`(-7)/(2(1)) =(-7)/(2)`

Vertex:

`y= ((-7)/(2))^(2) +7((-7)/(2)) -8\\y= ((49)/(4)) +((-49)/(2)) -8\\y= (49)/(4) +(-98)/(4) -8\\y=(-49)/(4)-8\\y = (-81)/(4)`

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

`y= 0^(2) +7(0) -8\\\\y= -8\\`