Question

Write a function for each graph described as a transformation of y=x^2.
A. y=x^2 undergoes a shift left of 2 units, then a reflection through the x-axis.
B. y=x^2 undergoes a horizontal stretch by a factor of 1/3, then a shift up of 4 units.

Answer 1

\[A. \space y = -(x+2)^2\]

Answer 2

\[B. \space y = \frac{1}{3}x^2 + 4\]

Answer 3

youre amazing! thanks! :)

Answer 4

do you know how to find the intercepts, vertex and axis of symmetry of this graph? @Tyler1992

Answer 5

the intercepts are where the graph crosses the x axis. I think you can handle that one

Answer 6

And the vertex is the lowest point of the graph.

Answer 7

for the intercepts i got (-3,0) and (1,0)

Answer 8

correct

Answer 9

so the vertex would be -4?

Answer 10

Ok i should rephrase the vertex statement lol

Answer 11

depending on if the parabola opens up or down the vertex is the lowest point if it opens up and highest point if it opens down

Answer 12

in this case it opens up so the lowest point would be (-1,-4)

Answer 13

got it, thanks :)

Answer 14

axis of symmetry should be x = -1 sorry

Answer 15

its the x coordinate of the vertex