Given the graph of y = 2x² is transformed into y = -2x² + 3.
For any function y = f(x), the transformation y' = -y = -f(x) reflects the graph across x-axis.
So it means that y = -2x² is the reflection of y = 2x² across the x-axis.
For any graph y = g(x), the transformation y' = y + k = g(x) + k shifts the graph 'k' units upward for all value of 'k' > 0.
So it means that y = -2x² + 3 is the shifted version of y = -2x² by '"3 units up".
Hence, option B and C are correct i.e. "reflection across x-axis" and "shift of 3 units up".
Answer:The other endpoint is at (
−
4
,
3
)
Explanation:
The line segment passing through (
−
4
,
9
) and (
−
4
,
6
)
is a vertical line with the midpoint 3
units below the first point.
The other endpoint must be 3
further units below the midpoint
i.e. at (
−
4
,
(
6
−
3
)
Step-by-step explanation:
The root of this parabola are x'=2 & x'' = 4, these are the value of x intercepts. The midpoint = (4-2)/2 = 1
Answer:
9 green balloons
Step-by-step explanation:
17-8=9
4x+10=5x-3
Subtract 4x from both sides
10= 5x-4x-3
Add 3 to both sides
13=x
4(13)+10
52+10
Q=62