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ioda
3 years ago
11

A quadratic function has a vertex at the point (-4, 2)and passes through the point (-8,-6)

Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

  • y = -1/2(x + 4)² + 2 or y = -1/2x²- 4x - 6

Step-by-step explanation:

<u>Given</u>

  • Vertex = (-4, 2)
  • The graph passes through the point (-8, -6)

<u>The function in vertex form is:</u>

  • y = a(x + 4)² + 2

<u>Substitute the coordinates of (-8, -6) and find the value of a:</u>

  • -6 = a(-8 + 4)² + 2
  • -8 = 16a
  • a = -1/2

<u>The function is:</u>

  • y = -1/2(x + 4)² + 2

or in standard form:

  • y = -1/2(x² + 8x + 16) + 2 = -1/2x²- 4x - 6

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Please I need like an explanation of how it was done.
a_sh-v [17]

Answer:

  the point is (3, 3) . . . . . . y = 3

Step-by-step explanation:

Write the point-slope equation of the line through the point you know. Then evaluate that equation for x=3 to see what the value of y is.

Point-slope form:

  y = m(x -h) +k . . . . slope m through point (h, k)

  y = -1/2(x -9) +0 . . . . line with slope -1/2 through point (9, 0)

For x=3, the value of y is ...

  y = -1/2(3 -9) + 0 = -1/2(-6) = 3

The value of y is 3.

4 0
3 years ago
Read 2 more answers
Calculate the force created from an object with a mass of 1250 grams and an acceleration of 3 m/s^2
abruzzese [7]

The force created by the object is 3.75 Newton.

Given

Mass of the object (m)  = 1250 grams

Convert 1250 grams to kilograms by dividing it by 1000.

Mass (m) = 1.25 kg

Acceleration of the body (a) = 3 m/s^{2}

From Newton's second law we know F= m *a

By Substituting in the above equation we get

Force = 1.25 x 3

Force = 3.75 kg/m /s^{2}

It can also be written as force = 3.75 N

Hence Force created by the body is 3.75 Newton.

To know more about Force refer

brainly.com/question/13191643?referrer=searchResults

8 0
1 year ago
Simplify (x − 4)(3x2 − 6x + 2). 3x3 + 6x2 − 22x + 8 3x3 − 18x2 + 26x − 8 3x3 − 18x2 − 22x − 8 3x3 + 6x2 + 22x + 8
kogti [31]

Answer:

3x^3-18x^2+26x-8

Step-by-step explanation:

(x-4)(3x^2-6x+2)

3x^3-6x^2+2x-12x^2+24x-8

3x^3-18x^2+26x-8

5 0
3 years ago
What is six times more than three times a number is that number increased by 24. Find the number. Write an equation. And find x
Lubov Fominskaja [6]

Given the information, you can only write an expression and simplify it:

6(3(x+24))

6(3x+72)

SOlution: 18x+432

I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!

4 0
3 years ago
How can you get the variable alone in 84+c=111
VLD [36.1K]
Subtract 84 on the other side of the equal sign and bring down c and the answer you get from 111 - 84.
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4 years ago
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