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grigory [225]
3 years ago
13

Which of the following describes the graph of y = x² - 225?

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

option 4. The graph has zeroes at x = 15 an x = -15 and it opens upward.

Step-by-step explanation:

we have

y=x^{2} -225

This is the equation of a vertical parabola open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the point (0,-225)

The axis of symmetry is x=0 (y-axis)

Find the x-intercepts (values of x when the value of y is equal to zero)

For y=0

0=x^{2} -225\\x^2=225

square root both sides

x=\pm15

therefore

The graph has zeroes at x = 15 an x = -15 and it opens upward.

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irinina [24]

Answer:14

Step-by-step explanation:

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3 years ago
F(x) = x2 - 4.<br> Find the inverse of the function
Lisa [10]

Answer:

f^{-1}(x) = √ x + 4

Step-by-step explanation:

step 1) replace f(x) with y

y = x² - 4

step 2) switch the x and y (because every (x, y) has a (y, x))

x = y² - 4

step 3) add 4 to both sides of the equal sign

x + 4 = y²

step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)

√ x + 4 = y

step 5) you know have the inverse of f(x) = x² - 4

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Elena-2011 [213]
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3 0
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Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ​ ×3 2 1 ​
Inessa [10]

I assume you mean the product of mixed numbers,

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If we write this as

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we can use the identity

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so that

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Alternatively, we can first write 3 1/2 as a mixed number:

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Then

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and

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nika2105 [10]

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Step-by-step explanation:

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8 0
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