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Third option: (0, 7)

Step-by-step explanation:

A reflection can be thought of as folding or "flipping" an object over the line of reflection.

• The original object is called the pre-image, and the reflection is called the image.

• The image is usually labeled using a prime symbol, such as A'B'C'.

• An object and its reflection have the same shape and size, but the figures face in opposite directions. The objects appear as if they are mirror reflections, with right and left reversed.

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

Label the points for the pre image:

Pre image

Point A: (0, -2)

Point B: (3, -7)

Point C: (0, -7)

And now we change the y-coordinates in the points into their opposites:

When reflected over the x-axis:

Ponit A (0, -2) changes to A' (0, 2)

Point B (3, -7) changes to B' (3, 7)

Point C (0, -7) changes to C' (0, 7)

New image:

A' (0, 2)

B' (3, 7)

C' (0, 7)

So the new image for vertex C, would be:

Third option: (0, 7)

Look at the both of the graphs:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

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step-by-step explanation: