Answer:
B: 6 units
Step-by-step explanation:
just took the test
we are given
we can use vertex form parabola formula
so, we can complete x square
so, option-A........................Answer
Well, notice, we can pretty much see the x-intercepts if we set f(x) = 0, clearly they're just 6 and -2,
now, this is a quadratic equation, since it only has 2 solutions at most, recall your fundamental theorem of algebra.
so, the vertex will be right in middle of those two x-intercepts.
what's between -2 and 6?, well is +2 or just 2, so
x = 2.
so we know the x-coordinate for the vertex is the halfway point of 2, what's the y-coordinate?
f(x) = y = (
2 - 6)(
2 + 2)
y = ( - 4)( 4 )
y = -16thus the vertex is at, well you already know.
3(4x - 4) + 1/2(8x - 6) + 2x - 3 = -144
12x - 12 + 4x - 3 + 2x - 3 = -144
18x - 18 = -144
18x = -126
x = -126/18
x = -7 Answer
Its C