Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as
The transformed graph has equation:
The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
Answer:
4
Step-by-step explanation:
It's a pythagorean triple
-I5I=-5 vs. I-5I= 5
The absolute value will stay the same for both negative and positive. The result will change depending on where you put your absolute value signs.
Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
28:35
Those are divisible by 7 so divide both sides by seven
the answer is 4:5
