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docker41 [41]
3 years ago
6

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex

form?
Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

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What is the value of x + 3y + z if x = 4, y = 5, and z= 22<br>a) 16<br>b) 41<br>c) 2​
fgiga [73]

Answer:

OPTION B - 41

Step-by-step explanation:

An expression is given and the corresponding values for the expression are also given. We have to substitute the given values to arrive at the answer.

The given expression is:   x + 3y + z.

Also given: x = 4, y = 5, z = 22.

Substitute these values in the above expression, we get:

4 + 3(5) + 22 = 4 + 15 + 22 = 41.

∴                                       x + 3y + z = 41

3 0
2 years ago
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Elena L [17]

Answer:

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Step-by-step explanation

4 0
2 years ago
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ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g
daser333 [38]

Answer:

C. F(x) = 4x² + 1

Step-by-step explanation:

→The function F(x) shifted 1 unit upwards, meaning there needs to be a 1 being added to the function.

→In addition, the function F(x) has grown narrower, compared to the function G(x). This is from the absolute value of a number being greater than 1, which is being multiplied.

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8 0
2 years ago
Divide 25/1658 To find the quotient, start by dividing _<br> into _.
ololo11 [35]

Answer:

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Step-by-step explanation:

6 0
2 years ago
What is the answer for this question?
grandymaker [24]

Answer:

A

Step-by-step explanation:

\frac{11\pi }{6} is in the fourth quadrant where tan < 0

The related acute angle = 2π - \frac{11\pi }{6} = \frac{\pi }{6}

Hence

tan( \frac{11\pi }{6} )

= - tan(\frac{\pi }{6} )

= - \frac{1}{\sqrt{3} }

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2 years ago
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