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
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