Answer:75. y/x = 75/1 = 75
Step-by-step explanation:
y/x = 75/1 = 75
The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
<h3>How to determine the functions?</h3>
A quadratic function is represented as:
y = a(x - h)^2 + k
<u>Question #6</u>
The vertex of the graph is
(h, k) = (-1, 2)
So, we have:
y = a(x + 1)^2 + 2
The graph pass through the f(0) = -2
So, we have:
-2 = a(0 + 1)^2 + 2
Evaluate the like terms
a = -4
Substitute a = -4 in y = a(x + 1)^2 + 2
y = -4(x + 1)^2 + 2
<u>Question #7</u>
The vertex of the graph is
(h, k) = (2, 1)
So, we have:
y = a(x - 2)^2 + 1
The graph pass through (1, 3)
So, we have:
3 = a(1 - 2)^2 + 1
Evaluate the like terms
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 1
y = 2(x - 2)^2 + 1
<u>Question #8</u>
The vertex of the graph is
(h, k) = (1, -2)
So, we have:
y = a(x - 1)^2 - 2
The graph pass through (0, -3)
So, we have:
-3 = a(0 - 1)^2 - 2
Evaluate the like terms
a = -1
Substitute a = -1 in y = a(x - 1)^2 - 2
y = -(x - 1)^2 - 2
Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
Read more about parabola at:
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Answer:
b
Step-by-step explanation:
Answer:
A, B, & C
Step-by-step explanation:
A: -5x +12 = -12x - 12
+12x +12x
7x + 12 = -12
-12 -12
7x = -24 [Divide both sides by 7 to get x]
x = -24/7
B: −5x + 12 = 5x + 12
-5x -5x
-10x + 12 = 12
-12 -12
-10x = 0 [Divide both sides by -10 to get x]
x = 0
C: −5x + 12 = 5x − 5
-5x -5x
-10x + 12 = -5
-12 -12
-10x = -17 [Divide both sides by -10 to get x]
x = 17 / 10
D: −5x + 12 = −5x − 12
+5x +5x
12 ≠ -12 [The statement is false, so it isn't the correct answer]
