What function g describes the graph of f after the given transformations?
1 answer:
After performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = |x| + 7
First we reflect the function f(x) across the x-axis
Multiply the function by -1
F(x) = -(|x| + 7)
To translated 4 units up add 4 to the function.
g(x) = -(|x| + 7) + 4
Thus, after performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
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Answer:
(-6,1)
Step-by-step explanation:
A. Reflection
When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.
Thus, D (-3,-1) ⟶ D' (-3, 1)
B. Translation
When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.
You translated the point 3 units to the left.
D'(-3, 1) ⟶ D"(-6,1)
Answer:
<em>The greatest number of song he can practice in a week is 2.</em>
Step-by-step explanation:
Suppose, the greatest number of song he can practice in a week is
He practices each song for hours. So, the total time required for practicing
number of songs
hours.
Given that, he practices his guitar for 9 hours each week.
So, the equation will be......
<em>(Rounded as the greatest whole number)</em>
Thus, the greatest number of song he can practice in a week is 2.