Answer:
x²-10x+25
Step-by-step explanation:
f(x) = x²
<h3>i) substitute the x-5 into x</h3>f(x-5) = (x-5)²
<h3>ii) using the formula (a-b)² = a²-2ab+b², expand the expression</h3>f(x-5) = (x-5)²
= x²-2(5x)+5²
<h3>iii) calculate the products</h3>f(x-5) = x²-2(5x)+5²
= x²-10x+25
* the pic i inserted shows the shape of your graph
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:
#SPJ1
Answer:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is
Now we plug in numbers accordingly:
Simplify:
Simplify:
Let me know if you have any questions