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3 years ago

I need help solving this question.

Mathematics

1 answer:

velikii [3]3 years ago

4 0

Answer:

(-1, 7)

Step-by-step explanation:

The given point tells you the value of f(-2) is -1, so ...

-3f(-2) +4 = -3(-1) +4 = 7 . . . . the y-value of the transformed point

The x-value that makes the function argument be -2 is ...

1/2(x -3) = -2

x -3 = -4 . . . . . . multiply by 2

x = -1 . . . . . . . . . add 3

So, the transformed point that corresponds to the given point is ...

(x', y') = (-1, 7)

_____

If you want to consider the transformations (as the problem suggests), consider this.

-3f(1/2(x -3)) +4

is a vertical expansion by a factor of -3, then translation upward by 4. It is also a horizontal expansion by a factor of 2, then a shift right by 3.

The combinations of these transformations means ...

(x, y) ⇒ (2x+3, -3y+4)

(-2, -1) ⇒ (2(-2) +3, -3(-1) +4) = (-4+3, 3+4) = (-1, 7)

a·f(b(x-c))+d

is a vertical expansion by 'a', an upward shift of 'd', a horizontal compression by 'b' and a right shift of 'c'. Negative values for 'a' or 'b' represent reflections in the x- or y-axis, respectively.

Here, the compression is by a factor of 1/2, equivalent to expansion by a factor of 1/(1/2) = 2.

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<h2>Answer with explanation:</h2><h2></h2>

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3 years ago

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2 years ago

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<h3>What is an expression?</h3>

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

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The least number of seats the manager should order is 270

Learn more about expressions here:

brainly.com/question/3118662

#SPJ1

4 0

1 year ago

I need help solving this question. ​

I need help solving this question.