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:
V=25
Step-by-step explanation:
Solve for
v
v
by simplifying both sides of the equation, then isolating the variable.
v
=
25
Answer:
Step-by-step explanation:
f(2x-3)
-(2x - 3) + 5
-2x + 3 + 5= -2x + 8
answer is A
Answer:
x = 75°
Step-by-step explanation:
Sum of angles in a triangle: 180°
So,
50°+55°+x=180°
105°+ x = 180°
Subtract 105° from both sides
x = 75°
