Answer:
7
Step-by-step explanation:
So, substitute in your 4 for r, 2(3) + 1. Multiply 2 and 3 to get 6 and then add a to get 7. I hope this helps :)
Answer:
Common
Step-by-step explanation:
Answer:
y = 3/4x + 2
Step-by-step explanation:
By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.
(3/4 = 0.75 if decimal is needed)
Step-by-step explanation:
1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
I'll do #2 and #3 as examples.
2. x = (-4 + 10) / 2 = 3
y = (6 + -10) / 2 = -2
So the midpoint is (3, -2).
3. x = (-3 + -6.5) / 2 = -4.75
y = (-8 + -4.5) / 2 = -6.25
So the midpoint is (-4.75, -6.25).
F(x) = a(x - h)³ + k
The parent graph is F(x) = x³
k - shifts the parent graph up k-units (or down if it is negative). This is also called a vertical shift.
h - shifts the parent graph to the right h-units (or left if it is negative). This is also called a horizontal shift.
a - stretches the parent graph vertically by a factor of "a"
Additonally, the coordinate (h, k) is the center/vertex of the graph.
