Answer:
9feet
Step-by-step explanation:
Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.
AT maximum height, the velocity of the toy will be zero. Hence;
df(x)/dx = 0
-2x + 4 = 0
-2x = -4
x = -4/-2
x = 2
Get the maximum height;
Substitute x = 2 into the given function;
f(x)=−x^2+4x+5
f(2)=−2^2+4(2)+5
f(2) = -4+8+5
f(2) = 9feet
Hence the maximum height of the toy is 9feet
Answer:
The answer is A
Step-by-step explanation:
Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps
Answer:
The function g(x) is defined as
.
Step-by-step explanation:
The given function is

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.
The transformation of function is defined as

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.
If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.
If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.
The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

![[\because f(x)=-(0.2)^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D-%280.2%29%5Ex%5D)
Therefore the function g(x) is defined as
.
6n=11c=-8j+5
Just combine the terms!