the vertex form of a function is g(x) = (x – 3)2 9. how does the graph of g(x) compare to the graph of the function f(x) = x2? g
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
We are provided with the information that
Function f is decreasing as it moves from quadrant 2 to quadrant 1, tending towards y=0
It intersects the y-axis at the point (0,6) and goes through (1,2).
Function g(x) also approaches y=0 in quadrant 2, but increases in quadrant 1.
It passes through (-1,2) and crosses the y-axis at (0,6).
Reflection across y-axis:
The transformation rule is identified as
Applying this rule, we derive
Then, by substituting
for x=-1
for x=0
Consequently, holds true.
