Answer:
see below
Step-by-step explanation:
f(x) = −16x^2 + 24x + 16
Set equal to zero to find the x intercepts
0 = −16x^2 + 24x + 16
Factor out -8
0 = -8(2x^2 -3x-2)
Factor
0 = -8(2x +1) (x-2)
Using the zero product property
2x+1 =0 x-2 =0
x = -1/2 x=2
The x intercepts are -1/2 ,2
Since the coefficient of x^2 is negative the graph will open down and the vertex will be a maximum
The x value of the maximum is 1/2 way between the zeros
(-1/2+2) /2 = 1.5/2 =.75
To find the y value substitute into the function
f(.75) = -8(2x +1) (x-2)
=-8(2*.75+1) (.75-2)
= -8(2.5)(-1.25)
=25
The vertex is at (.75, 25)
We have the zeros, and the vertex. We know the graph is symmetrical about the vertex
Answer:
Third choice
Step-by-step explanation:
the answer is the one with
9 18
-13 -14
The answer is D because the two angles are congruent and they must be subtracted from 180 to equal 116 degrees.
I hope this helps, God bless, and have a great day.
Brainliest is always appreciated :)
Three hundred and ten million, seven hundred sixty-three thousand, one hundred and thirty-six
G(x) = F(x + 4) + 2
Addition of a number to x indicates a shift towards left. Since 4 is being added to x, this means function is shifted to left by 4 units.
Addition of a number to the function represent an upward shift. Since 2 is being added to the function value, this mean function is shifted up by 2 units.
So, G(x) is obtained by shifted F(x) 4 units to left and 2 units up.
Thus, option C is the correct answer
