PLEASE SOLVE FOR BOTH THE STARS AND SQUARES! BRAINLIEST AND 5 STARS! URGENT
2 answers:
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Answer:
A.
Step-by-step explanation:
If
AND
y = x + 7, then by the transitive property of equality:
We can solve for the values of x by getting everything on one side of the equals sign and then solving for x:
We can factor out the common x to get:
x(x + 1) = 0
which tells us by the Zero Product Property that either
x = 0 and/or x + 1 = 0 and x = -1
We are expecting 2 solutions for x since this is a second degree polynomial. We will sub both -1 and 0 into y = x + 7 to solve for the corresponding values of y
y = 0 + 7 so
y = 7 and the coordinate is (0, 7)
y = -1 + 7 so
y = 6 and the coordinate is (-1, 6)
There is no absolute value function when graphed, will be wider than the graph of the parent function f(x) = |x|
<h3>What is an absolute value function?</h3>An absolute value function is a function such that,
For the given example,
We have been given a parent function f(x) = |x|
We need to find the absolute value function, when graphed, will be wider than the graph of the parent function.
Consider the graph of all absolute value functions.
The graph of f(x) = |x| + 3 is represented blue color.
The graph of f(x) = |x − 6| is represented green color.
The graph of f(x) = |x| is represented red color.
The graph of f(x) = 9|x| is represented violet color.
From this graph, we can observe that,
f(x) = |x| + 3 is as wise as the parent absolute value function f(x) = |x| translated up by 3 units.
Similarly, the function f(x) = |x - 6| is as wise as the parent absolute value function f(x) = |x| translated right by 6 units.
This means, there is no absolute value function when graphed, which will be wider than the graph of the parent function f(x) = |x|
Learn more about the absolute value function here:
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