Answer:
<u>Part 1</u>
<u>Sideways or "horizontal" parabola</u> with a horizontal axis of symmetry.
<u>Part 2</u>
The vertex is the turning point: (-3, 1)
<u>Part 3</u>
Vertex form of a horizontal parabola:
where:
- (h, k) is the vertex
- a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.
Point on the curve: (-1, 2)
Substituting the vertex and the found point into the formula and solving for a:



<u>Part 4</u>
Equation for the given parabola in vertex form:

Equation in standard form:

Answer:
x = 8
y = 21
Step-by-step explanation:
y = 4x − 11
x + y = 29
Solve for x:
x + y = 29
x + 4x − 11 = 29
5x − 11 = 29
5x = 40
x = 8
Solve for y:
y = 4x − 11
y = 4 × 8 − 11
y = 21
9514 1404 393
Answer:
M = (0, 0), which IS the origin
Step-by-step explanation:
The midpoint is given by the formula ...
M = (A + B)/2
M = ((4, -6) +(-4, 6))/2 = (4-4, -6+6)/2 = (0, 0)/2
M = (0, 0) . . . . . IS the origin
Let R = total revenue the year before
R = 45,000 x 0.25 + 45,000
R = 11,250 + 45,000
R = $56,250