Math  /  Algebra

Question3. A graph of the parabola y=x2+y=x^{2}+ this function in the order shown: a. A vertical translation 4 units down b. A horizontal translation 2 units left c. A vertical stretch about the xx-axis by a factor of 0.5 d. Reflection in the xx-axis
For each transformation, a. Graph the image on the grid b. Write the newest equation in the table below

Studdy Solution
Apply the reflection in the x x -axis. This changes the sign of the y y -coordinate. The new equation becomes:
y=[0.5(x+2)22] y = -[0.5(x + 2)^2 - 2]
Simplifying, we distribute the negative sign:
y=0.5(x+2)2+2 y = -0.5(x + 2)^2 + 2
Graphically, this means flipping the parabola upside down.
The final transformed equation is:
y=0.5(x+2)2+2 y = -0.5(x + 2)^2 + 2

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