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:
It's gotta be D.
Step-by-step explanation:
OK, so you gotta multiply the amount of Apple crates by the price, which gives you 62.50. Add that to 18.75 (The pear crate price.) Voilà.
Answer:
Step-by-step explanation:
- Firstly, plug in the point and slope into the slope-intercept equation format:
When lines are parallel to one another, their slopes are the same. But they have different y-intercepts. To explain further, slope is the angle of measure of a line from a horizontal standpoint and knowing that parallel angles must have the same angle, it can be concluded that parallel lines would have the same slope or in other words, an equal slope.
Now solving, use algebraic concepts:
11 = -8(-1) +b (Now solve for b)
11 = 8 + b (Subtract 8 from both sides) (Use the "Right" to "Left")
-8 -8
3 = b (Switch terms)
b = 3
Now let's write the equation with only slope and y-intercept.
Getting the result of:
y = -8x + 3
Answer:
to convert a fraction to a decimal, divide the numerator by the denominator