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Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
we have
The parent function is
This is a vertical parabola open upward with vertex at origin (0,0)
Part 1) Reflection over the x-axis
The rule of the reflection across the x=axis is equal to
(x,y) ------> (x,-y)
so
f(x) -----> g(x)
The function g(x) will be
Part 2) Horizontal shift left 3 units
The rule of the translation is
(x,y) ------> (x-3,-y)
so
f(x) -----> g(x)
The function g(x) will be
Part 3) Vertical shift up 7 units
The rule of the translation is
(x,y) ------> (x,y+7)
so
f(x) -----> g(x)
The function g(x) will be
Answer:
9 hours
Step-by-step explanation:
- 3/5 > - 4/5
They are both negative, so ignore the sign and compare the values. But we need to find which one is closer to the zero.
4 is greater than 3, and we have a common denominator, so -3/5 is greater than -4/5, because -3/5 is closer to the zero.