Question
2. Write the equation you get when you start with y=x^2 and do vertical stretch of 3, a horizontal reflection translations of 2 right and 4 up.
Solution
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GwendolynElite · Tutor for 8 years
Answer
### $y = 3(x-2)^2 + 4$
Explain
## Step 1: Vertical Stretch<br />### A vertical stretch by a factor of 3 changes $y = x^2$ to $y = 3x^2$.<br /><br />## Step 2: Horizontal Reflection<br />### A horizontal reflection changes $y = 3x^2$ to $y = 3(-x)^2 = 3x^2$.<br /><br />## Step 3: Translation Right<br />### A translation 2 units to the right changes $y = 3x^2$ to $y = 3(x-2)^2$.<br /><br />## Step 4: Translation Up<br />### A translation 4 units up changes $y = 3(x-2)^2$ to $y = 3(x-2)^2 + 4$.
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