Q:

# The graph of the parent function p(x)=x^2 passes through the point E (21,184). The graph p is transformed such that the new graph represents the following function: f(x)=(x+8)^2-5 if this transformation translates point E to a new location what are the cooridinates of E

Accepted Solution

A:
The new coordinates of E are (13 , 179)Step-by-step explanation:Let us revise some transformation If 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) + k  If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  ∵ p(x) = x²∵ The graph p is transformed such that the new graph represents    the function f(x)∵ f(x) = (x + 8)² - 5∴ x of p(x) is add by 8 and p(x) subtracted by 5- By using the 2nd and 4th rule above∴ The graph of p(x) is translated 8 units left and 5 units down∵ Point E (21 , 184) lies on the graph of the parent function p(x)∴ Point p translated 8 units to the left and 5 units down- That means subtract 8 from its x-coordinate and 5 from its    y-coordinate∴ The new coordinates of E = (21 - 8 , 184 - 5)∴ The new coordinates of E = (13 , 179)The new coordinates of E are (13 , 179)Learn more:You can learn more about translation in brainly.com/question/2415963#LearnwithBrainly