Thanks this came in handy bc I'm a beginner
Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function
and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:



Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
Answer:
x ∈ {-5, -1}
Step-by-step explanation:
Here's the solution using the quadratic formula:

The real zeros are -5 and -1.
_____
There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.
Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.
The turning point is (3,3). The x to make the absolute value negative would be 2. The ordered pair would then be (0,3)
Answer:
a=3
Step-by-step explanation:
a=3 because 5+4=9 and 9÷3=3
hope this helps!!