Answer:
Step-by-step explanation:
The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.
Given vertex at (2,-3), h = 2, k = -3
y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3
The parabola passes through (0,5) so
5 = a(0 - 2)^2 - 3
5 = 4a - 3
4a = 8
a = 2
The parabola equation in vertex form:
y = 2(x - 2)^2 - 3
WHAT THE F-
why are the the questions fat paragraphs my dude
Answer:
-2
Step-by-step explanation:
the slope is 2, aka 2/1, aka y goes up twice when x goes up once
Answer:
wow that is a lot
Step-by-step explanation:
maybe you should send it in bits not all at once
<span>implifying
4[2y + -3] + -1 = 11
Reorder the terms:
4[-3 + 2y] + -1 = 11
[-3 * 4 + 2y * 4] + -1 = 11
[-12 + 8y] + -1 = 11
Reorder the terms:
-12 + -1 + 8y = 11
Combine like terms: -12 + -1 = -13
-13 + 8y = 11
Solving
-13 + 8y = 11
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 8y = 11 + 13
Combine like terms: -13 + 13 = 0
0 + 8y = 11 + 13
8y = 11 + 13
Combine like terms: 11 + 13 = 24
8y = 24
Divide each side by '8'.
y = 3
Simplifying
y = 3</span>