Hello!
Recall that the transformations form of a parabola is:
f(x) = ±a(b(x-h)) + k where:
a = vertical stretch/compression
b = horizontal stretch/compression
h = horizontal shift, x-coordinate of vertex
k = vertical shift, y-coordinate of vertex
In this instance, the parent function is f(x) = 3x^2. There is a vertical stretch of 3.
However, there is a point (7, -2) that needs to be included. Substitute these values into the transformation formula:
h = 7
k = -2
f(x) = 3(x - 7)² - 2 is the equation with (7, -2) as the vertex.
Do you have to make an equation? if so, the answer would be n - 8
Answer:
Vertex is (-3,2)
Step-by-step explanation:
The vertex is either the absolute minimum or maximum of a function, depending on how the function opens.
In this case, since this absolute value function opens upward, the vertex is the absolute minimum of the function, which is found at (-3,2).
Therefore, the vertex of the absolute value graph is (-3,2).
Let the number of yards she trimmed be t
She trimmed 5 more yards than she cut and she mad $415, so
20t+15(t-5)=415
We first distribute the second number so this equals
20t+15t-75=415
Then we add 75 to both sides, getting
20t+15t=490
This means that
35t=490
And we divide both sides by 35 to get
t=14
So, she trimmed 14 yards