The equation in the vertex form of g(x) is:
<h3>
How to get the equation of function g?</h3>
We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).
So first, let's rewrite f(x) to its vertex form:
The vertex is at:
The y-value of the vertex is:
Then the vertex form of f(x) is:
If we move this vertex 2 units below, and 3 units to the left, then we have:
That is the equation for g(x) in vertex form.
If you want to learn more about quadratic equations:
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Answer:
It is a right angled triangle.
so
tan32 = p/b
or, tan32 = x/5
or, tan32×5 = x
so, x = 3.124
for 5 no. the answer is a. 3.124
For y,
cos32 = b/h
or, cos32 = 5/y
or, y = 5/cos32
so, y = 5.895
for 6 no. 5.895 is closest to 5.994, so the answer is c. 5.994.
5(x-2)(x+4)>0 For this to be true, both parenthetical terms must be both positive or both negative.
x<-4 and x>2
x=(-oo,-4),(2,+oo)
Answer:
Fre sha vaca do
Step-by-step explanation:
fresh avocado.
<u><em>Answer:</em></u>
Her hourly rate is $8.25
<u><em>Explanation:</em></u>
Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week
<u>We know that:</u>
There are 5 school days in a week
<u>We are given that:</u>
She works for 3 hours a day each of those days
<u>Therefore:</u>
Total number of hours worked = hours worked daily * number of days
Total number of hours worked = 3 * 5 = 15 hours in a week
<u>The equation used to calculate Tatianna's earnings is:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
<u>Now, we substitute with the givens to get the hourly rate as follows:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
123.75 = 15 * hourly rate
Hourly rate = $8.25
