Given the function f, match the function g with a transformation of f.
f(x) = x2 + 1, g(x) = (x - 2)2 + 1
☆☆☆☆☆☆☆☆a) f(x + 2)
b) f(x) + 2
c) f(x) - 2
d) f(x - 2)
The transformation that occured was a horizontal shift to the right of all the x's.
Answer:
<h2>x = 2</h2>
Step-by-step explanation:
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The steps of the solution in the photo above
I hope that is useful for you :)
The answered the question is X=5
Answer:
C (x, y) -> (x + 7, y + 8); scale factor = 3
Step-by-step explanation:
The translation can be found by subtracting the coordinates of the original center from those of the center of the image. The scale factor will be the ratio of the radii.
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<h3>translation</h3>
We note the center coordinates are I(-3, -6) and I'(4, 2). Then the translation is ...
I' -I = (4, 2) -(-3, -6) = (4 +3, 2 +6) = (7, 8)
(x, y) ⇒ (x +7, y +8)
<h3>scale factor</h3>
The radius of each circle can be found by counting the grid squares from the center to the circle. It works best to do this along a horizontal or vertical line.
The radius of circle I is 2; the radius of circle I' is 6. The scale factor is ...
scale factor = 6/2 = 3
Given:
To find:
The value of x and measure of ∠A.
Solution:
Let C be angle the vertically opposite to ∠A.
The reference image for answer is attached below.
By vertical angle theorem:
m∠A = m∠C
m∠C = 10x + 24°
By the corresponding angle theorem:
m∠C = m∠B
Subtract 24° on both sides.
Subtract 6x from both sides.
Divide by 4 on both sides.
The value of x is 12°.
The measure of ∠A is 144°.
