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elixir [45]
2 years ago
9

Which of these pairs of numbers differ by 495 when they are squared? Choices:A.17 and 19 B:21 and 30 C.27 and 18 ,or D.23 and 32

Mathematics
1 answer:
alukav5142 [94]2 years ago
6 0
The answer is B because 30^2 - 21^2 = 495
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Answer:

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Step-by-step explanation:

y = -2x² is a quadratic equation which represents by a parabola

From the red graph:

The graph of y = -2x² is represented by downward parabola

It has a maximum vertex (0 , 0)

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Its domain is {x: x ∈ R}

Its range is {y: y ≤ 0}

From the blue graph:

The graph of y = -2x² + 4 is represented by down ward parabola

It has a maximum vertex (0 , 4)

The line of symmetry at x = 0

Its maximum value = 4 at x = 0

Its domain is {x: x ∈ R}

Its range is {y: y ≤ 4}

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They have the same equations of line of symmetry

Their vertices have same x-coordinates but different y-coordinates

They have same domains

They have different ranges

They have different maximum values at same x values

The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up

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