MATH SOLVE

2 months ago

Q:
# The parabola y = x2is shifted down by 6 units and to the right by 5 units.What is the equation of the new parabola?

Accepted Solution

A:

The equation of the new parabola is y = (x - 5)² - 6Step-by-step explanation:Let us revise the translation of a functionIf the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The equation of the parabola is y = x²∵ The parabola is shifted down by 6 units- That means new y = y - k and k = 6∴ The new y = x² - 6∵ The parabola is shifted 5 units to the right- That means the new y = (x - h)² and h = 5∴ The new y = (x - 5)²∴ The new equation is y = (x - 5)² - 6The equation of the new parabola is y = (x - 5)² - 6Learn moreYou can learn more about transformation in brainly.com/question/9381523#LearnwithBrainly