Which function is the result of vertically shrinking ƒ(x) = x2 by a factor of 1∕3 and translating it to the right 7 units?
1 answer:
Answer:
B) Y = 1/3 (x-7)^2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/3, we just need to multiply it by the factor, that is:
Now, to translate the function 7 units to the right, we just need to substitute the values of x in the function by (x-7):
So the correct option is B)
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Hello!
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is 12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
Answer:
See below
Step-by-step explanation:
Hence, both ratios are equal to each other