The y intercept is always c (-5) and to the axis of symmetry u do -b/2a which is -1 and the vertex is (-1,10) because u pug in -1 into the equation. lmk if it’s right!
The domain of the function is [-4,∞).
Domain is the set of all the possible inputs for which the function is defined.
The given function is:
y = √x+4
It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.
x+4≥0
Subtract 4 from both the sides.
x+4-4 ≥ 0-4
x ≥ 4
The domain of the function is:
Domain = {xIx ≥ -4} = [-4,∞)
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Answer:5.25
Step-by-step explanation:
multiply it
Answer:

Step-by-step explanation:
Given

Required
The difference quotient for h
The difference quotient is calculated as:

Calculate f(x + h)



The numerator of
is:


Collect like terms


So, we have:

Rewrite as:


The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3
<h3>What is function?</h3>
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
According to the question,
The given function is

Here f(x) = -12
Substitute f(x) and solve for x

By subtracting 3 on both sides


By dividing -5 on both sides

We get absolute values for the function.

By subtracting 1 on both sides

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3
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