Help please!! Will mark brainliest!

Mathematics

1 answer:

Alisiya [41]2 years ago

5 0

Answer:

1. shift right by 3.1 units

2. flip over y axis

3. shift up by 1

Step-by-step explanation:

to transform from x⁵ to (-x+3.1)⁵+1, we must do the following

1. add 3.1 to x (plug (3.1 + x) in for x) to get (x+3.1)⁵

2. switch x to -x to get (-x+3.1)⁵

3. add 1 to the remaining function to get (-x+3.1)⁵ +1

f(x) = x⁵

plug (3.1 + x) in for x

f(x+c) is when (x+c) is plugged in to x, and its shifts the graph to the right by c units

here, 3.1 = c

thus, we shift right by 3.1 units to get to (x+3.1)⁵

f(x) = (x+3.1)⁵

f(-x) flips a graph over the y axis, and that's what we're doing as we're switching x to -x, resulting in (-x+3.1)⁵

f(x) = (-x+3.1)⁵

here, we add 1 to the whole function, and not to x. if we plugged it into x, we'd have (-(x+1)+3.1)⁵, which is not what we want. thus, we add 1 to f(x)

f(x) + c shifts a graph up by c units. here, c = 1, so we shift up by 1 to get

(-x+3.1)⁵ + 1

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