Question
Given the parent function y=x^2, write the equations with the following transformations in the form y=a(x−h)^2+k
.
A. The parent graph has been shifted to the left 1 and up 5.
B. The parent graph has been reflected over the x-axis and stretched vertically by a factor of 3.
C. The parent graph has been compressed vertically by a factor of 1/2 and shifted right 6.
Write it like a human would, and make it as short and simple as you can make it.
.
A. The parent graph has been shifted to the left 1 and up 5.
B. The parent graph has been reflected over the x-axis and stretched vertically by a factor of 3.
C. The parent graph has been compressed vertically by a factor of 1/2 and shifted right 6.
Write it like a human would, and make it as short and simple as you can make it.
Answers
GPT-4o mini
Sure! Here are the equations based on your transformations:
A. Shifted left 1 and up 5:
\[ y = (x + 1)^2 + 5 \]
B. Reflected over the x-axis and stretched vertically by a factor of 3:
\[ y = -3(x^2) \]
C. Compressed vertically by a factor of 1/2 and shifted right 6:
\[ y = \frac{1}{2}(x - 6)^2 \]
Let me know if you need anything else!
A. Shifted left 1 and up 5:
\[ y = (x + 1)^2 + 5 \]
B. Reflected over the x-axis and stretched vertically by a factor of 3:
\[ y = -3(x^2) \]
C. Compressed vertically by a factor of 1/2 and shifted right 6:
\[ y = \frac{1}{2}(x - 6)^2 \]
Let me know if you need anything else!