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Laabri

Unit 3B Quiz

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Last updated about 4 years ago
12 Nsɛmmisa
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Use this information to answer questions 9-12:

On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by this function:

h(x) = –16x2 + 64x + 80.

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1.

When the expressions x2 – 9 and x2 – 5x + 6 are factored, what factor do they have in common?

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2.

Write the following standard form equation in factored form:

4x2 - 35x + 49

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3.

Solve 3x2 + 7x – 20 = 0. Write your answer in brackets (ex. {1,2/3})

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4.

Solve the quadratic equation 2x2 + 5x – 1 = 0 using the quadratic formula. Use the keyboard button to find symbols.

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5.

If (x - 3)2 = 5, then what values of x make the quadratic equation true? Write your answer in brackets (ex. {1,2})

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6.

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7.

Write this quadratic function in standard form:

(3x - 4)(3x + 4)

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8.

The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area. What is the missing value? (I got the answer wrong. Take your previous answer and multiply by negative 2.)

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9.

What is the starting height of the balloon?

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10.

How many hours have passed when the hot air balloon lands on the ground?

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11.

What is the maximum height, in feet, that the balloon will reach?

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12.

The balloon will reach its maximum height after how many hours?

The graph of y = x2 – 4 is shown. Which are solutions to x2 – 4 = 0?