Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Answer:
Then, the area of the right angle triangle AED is 84in^2.
Step-by-step explanation:
The triangle AED is a right angle triangle
And the area of a triangle is given as
Area=1/2base ×height
The base is 14in
And the height is 12in
Then,
Area=1/2base ×height
Area = 1/2 ×14 ×12
Area = 84in^2
Then, the area of the right angle triangle AED is 84in^2.
The transformation of a function may involve any change. The correct option is D.
<h3>How does the transformation of a function happen?</h3>
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
- Left shift by c units, y=f(x+c) (same output, but c units earlier)
- Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
- Up by d units: y = f(x) + d
- Down by d units: y = f(x) - d
Stretching:
- Vertical stretch by a factor k: y = k \times f(x)
- Horizontal stretch by a factor k: y = f(\dfrac{x}{k})
Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.
Learn more about Transforming functions:
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Answer:
The answer is letter A.
(8x³ + 2x² - 7x + 2) ÷ (2x - 1)
8x³ + 2x² - 7x + 2 ÷ 2x - 1
(2x-1)(4x²+3x-2)÷2x-1
cancel 2x-1 so that the answer is 4x²+3x-2.