Does the transformation of a vertical stretch to a parabola mean that the y coordinates of its points are shrunk or stretched the factor provided? does the transformation of a horizontal stretch to a parabola mean that the x coordinates of its points are shrunk or stretched the factor provided?
ex: vertical stretch by a factor of 3 means the y coordinates are multiplied by three
horizontal stretch by a factor 1/3 means the x coordinates are multiplied by three due to multiplying by the reciprocal.
pls

  Stretch in any direction (horizontal or vertical) means the corresponding coordinates are multiplied by the stretch factor: a horizontal stretch multiplies the x-coordinates by the stretch factor; a vertical stretch multiplies the y-coordinates by the stretch factor.

Step-by-step explanation:

If you know the coordinates, you can apply the stretch factor directly to the coordinates.

For example, consider the point (5, 25).

A horizontal stretch (only) by a factor of 3 will move this point to (15, 25).

A vertical stretch (only) by a factor of 3 will move the original point to (5, 75).

Note that only the corresponding coordinate is multiplied by 3.

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The confusion can arise when this stretch concept is applied to the transformation of a function.

Consider the function f(x) = x^2. The point used in the example above is ...

  (5, f(5))

Vertical Stretch Function Transformation

If we want to transform the function to one that is vertically stretched by a factor of 3, we can simply multiply the function value by 3:

  g(x) = 3·f(x)

Then ...

  (5, g(5)) = (5, 75) . . . . . . the location of the vertically stretched point in the above example.

Horizontal Stretch Function Transformation

If we want to stretch the above f(x) function horizontally by a factor of 3, we want a h(x) function that will produce the point (15, h(15)) = (15, 25). We can get that using f(x), but the argument to f(x) for that y-coordinate must be 5, not 15. This means the transformation must be ...

  h(x) = f(x/3)

Dividing the function argument by the stretch factor means the argument must be larger by that factor in order to give the same function result.

  (15, 25) = (15, h(15)) = (15, f(15/3)) = (15, f(5))

Summary

Vertical stretch of a coordinate by the factor "a": (x, y) ⇒ (x, ay)

Vertical stretch of a function by the factor "a": g(x) = a·f(x)

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Horizontal stretch of a coordinate by the factor "a": (x, y) ⇒ (ax, y)

Horizontal stretch of a function by the factor "a":

  (x, y) ⇒ (ax, h(ax)), where h(x) = f(x/a), so h(ax) = f(ax/a) = f(x)

i believe the correct answer is b.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3