Instructions: Determine the shape and direction of the parabola formed by the given function.

Mathematics

1 answer:

Sedbober [7]1 year ago

8 0

We have the parabola with equation y = 4x².

We have to determine the shape and direction of it.

If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.

As the value of a is positive, the parabola will open upward.

The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.

This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.

Answer:

Because a is positive the parabola opens upward.

Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.

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A movie is 2.5 hours long if this duration is multplied by the conversation factor 1 day / 24 hours how will the length of the m

stiks02 [169]

24 hours are ------ 1 day

1 hour is -------- x day
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thus x day is $\frac{1hour \cdot 1day}{24hours}= \frac{1}{24} day$

so

1 hour is 1/24 day

thus 2.5 hours are $2.5 \cdot \frac{1}{24}days= \frac{2.5}{24}days= \frac{25}{240}days$

Answer: $\frac{25}{240}$ days, which is approximately 0.1 days