b. translate left 12 units, stretch horizontally by a factor of 4, and reflect over the x-axis.
need steps don't understand how to do!
For a, the transformed function is 5*|x+9| - 23 after translating 9 units to the left, stretching vertically by a factor of 5, and translating down 23 units. For b, the transformed function is -|(x+12)/4|, after translating 12 units to the left, stretching horizontally by a factor of 4, and reflecting over the x-axis.
The given function is f(x) = |x|. To write the equation for each transformation, you need to understand how they influence the function.
a. To translate the function left 9 units, the value 9 needs to be added inside the absolute value brackets creating f(x) = |x+9|. To stretch it vertically by a factor of 5, we multiply the entire function by 5 - 5 * f(x) = 5*|x+9|. Lastly, to translate down 23 units, we subtract 23 from the entire function, leading us to 5*|x+9| - 23.
b. To translate left 12 units, we change the function to |x+12|. To stretch horizontally by a factor of 4, divide the x inside the absolute value by 4, getting |(x+12)/4|. To reflect over the x-axis, we multiply the entire function by -1, leading to -|(x+12)/4|.
Answer:
Step-by-step explanation:
Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61
To list: numbers from least to greatest
Solution:
Let the three consecutive odd integers be .
According to question,
So, the integers are
Numbers from least to the greatest:
Answer:
it is 27
Step-by-step explanation:
i know this because i know you meant 3^2 not 32 i took the test