Answer:
x | y | (x,y)
0 | 35 | (0,35)
3 | 50 | (3,50)
-7 | 0 | (-7,0)
Step-by-step explanation:
Given the equation: , to complete the table, plug in the value of x given in the table in each row, to find y.
When x = 0,
(0,35)
When x = 3,
(3,50)
When x = -7,
(-7,0)
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