x=8
16-8=8
Use a calculator to find the square root of 8.
Answer:
A) -4
B) 4 units apart
C) no values of x
Step-by-step explanation:
1) slope of m: (3-2)/(10-8) = ½
m(x) = ½x + c
2 = ½(8) + c
c = -2
m(x) = ½x - 2
m(16) = 6
h(4) = (4-2)²/2 = 4/2 = 2
h(4)-m(16) = 2-6 = -4
B) y-intercept of:
*h(x) = ½(0-2)² = 2
*m(x) = -2
from the equation found before
2 - (-2) = 4 units apart
C) m(x) = (x-4)/2
m(x) > h(x)
(x-4)/2 > ½(x-2)²
x-4 > x²-4x+4
x²-5x+8 < 0
(x - 2.5)² + 1.75 < 0
Never negative
Answer:
D: The maximum value is 0
Step-by-step explanation:
Choice A is true because the x-intercepts are shown on the graph and are both -2 and 2.
Choice B is true because the parabola intercepts the y axis at 2.
Choice C is true because the AoS runs down the vertex which happens to be on the point (0,2).
Choice D is false because this parabola has no maximum value (parabolas continue forever unless stated otherwise).
