Answer: The value of a is -6.
Step-by-step explanation:
To do this we need to find the y-intercept first.
-2= 4(1/2) + b
-2=2+ b
-2 -2
b= -4 so now the y-intercept is -4 so we will now have the equation y= 1/2x -4
so now put -4 into the equation for x and solve for y.
y= 1/2(-4) -4
y = -6
Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
Answer:
C
Step-by-step explanation:
I did the math
Substitute x for whatever number is on the graph for x then do the math and get the answer for y and see if they are correct for each one.
F(g(x)) means u solve g(x) first then you plug that value into f(x)
x = -1
g(-1) = -1 + 3 = 2
plug 2 into f(x)
f(2) = 5(2) - 10 = 0
Domain: (infinity, 4]
range: [-6, infinity)