Transformations of Quadratic Functions Answers
Which of the following transforms [image 1] to the graph of [image 2] ?
Which of the following transforms the graph of [image 1] to the graph of [image 2] ?
y = [___](x + [___])2 + [___]
y = (x - 5)^2 + 3
units.
6
The graph of y = –0.2x2 is narrower than and opens in the same direction as wider than and opens in the same direction asnarrower than and opens in the opposite direction of✔ wider than and opens in the opposite direction of the graph of y = x2.
⇒ 1
1
To obtain the graph of y = (x - 8)2, shift the graph of y = x2 updownleft✔ right
Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y = x2.
To determine the path of the ball, first complete the square to rewrite the quadratic equation in vertex form, y = a(x - h)^2 + k. For the equation y = -16(x - 1)^2 + 19, the transformations include a reflection across the x-axis and a vertical stretch that makes the graph narrower because a = -16. Additionally, identify the translations: the graph is shifted 1 unit to the right (h = 1) and 19 units up (k = 19).
Which of following is the graph of y = -(x + 1)2 -3?
The vertex of the graph of y = (x - 1)2 - 5 is (, ).
Form a perfect-square trinomial.y = x2 + 2x + [___] − 1− [___]
y = (x + [___])2 + [___]
3
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9? Check all of the boxes that apply.
The graph of y = 5x2 is ✔ narrower than and opens in the same direction aswider than and opens in the same direction asnarrower than and opens in the opposite direction ofwider than and opens in the opposite direction of the graph of y = x2.
y = [___](x + [___])2 + [___]
y = (x - 5)^2 + 3
units.
8
Sample Response/Explanation: Complete the square to get the equation in vertex form with a = -16, h = 1, and k = 19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units. Which of the following did you include in your explanation? Check all of the boxes that apply.Complete the square to write the equation in vertex form: y = -16(x - 1)2 + 19.Suggest that the graph of the parent function is narrowed, reflected across the x-axis, and then transl
).
Form a perfect-square trinomial.y = x2 + 2x + [___] − 1− [___]
Did you find these answers helpful?
TRY EDGENUITY HACKS
- Auto Complete Exams
- Auto Complete Assignments
- Skip Videos Instantly