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:
y = 1
Step-by-step explanation:
3 + y = 4
y = 1
Answer:
i think the second answer
Step-by-step explanation:
Answer:
-0.38%
Step-by-step explanation:
Divide 31 by 50. 31 / 50 = 0.62.
1 - 0.62 = 0.38
Since it is a decrease in change the percent change is negative.
-0.38%
Answer: 
Step-by-step explanation:
There are some transformations for a function 
. Two of those transformations are:
1. If 
, then the function is translated "k" units up.
2. If 
, then the function is translated "k" units down.
In this case, you have the following Quadratic function given in the exercise:
According to the information given, the function 
is obtained by translating the Quadratic function 3 units up. Based on this, you can identify that the transformation is the following:
Where 
Therefore, you can determine that:
