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Ne4ueva [31]
3 years ago
10

Given b=4 and h=1, what is the equation of the graph if the parent function is Y=square root of X?

Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

Given: b = -2

h = 4

Parent function y = root x or y = √x

Using the following equation we can find out the equation of the graph:

Step-by-step explanation:

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the coordinates of the vertex of a parabola in the xy-plane are (-4,k). If the y-intercept of the parabola is 12 and the parabol
svp [43]

The value of k is (A) 20/3.

<h3>What is a parabola?</h3>
  • A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
  • It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
  • A point and a line are two ways to describe a parabola.

To find the value of k:

  • y - b = c (x - a)²

Where (a, b) is the vertex and c is the constant.

  • (a, b) = (-4, k)
  • y - k = c (x - (- 4))²
  • y - k = c (x + 4)²

So,

  • x = 0, y = 12
  • 12 - k = 16c
  • k = 12 - 16c  ...... (1)

Then,

  • (-3, 7) = (x, y)
  • 7 - k = c (1)²
  • k = 7 - c  ...... (2)

Now,

  • 12 - 16c = 7 - c
  • 12 - 7 = 16c - c
  • 5 = 15c
  • c = 5/15 = 1/3

So, the value of k:

  • k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3

Therefore, the value of k is (A) 20/3.

Know more about a parabola here:

brainly.com/question/4061870

#SPJ4

The complete question is given below:

The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?

(A) 20/3

(B) 16/5

(C) 14/3

(D) 12/5

5 0
1 year ago
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weeeeeb [17]

Answer:

x = -14

Step-by-step explanation:

\frac{x}{2} = -7

multiply 2 on both sides

the 2's cancel out on the fraction side, leaving x = -7(2)

multiply -7 and 2 to get -14

x = -14

4 0
3 years ago
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Solve for X if possible:<br> 5x -4y = 24<br><br> x =
Llana [10]

Answer:

x=6 because if you multiple 4x6 you get 24

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2 years ago
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Magellan has decided to make party baskets for the fundraiser. Balloons are sold in bags of 20, party horns are sold in bags of
Pavel [41]
20 x 2=40
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8 0
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Find A, B, and C<br> 7th Grade Math<br> Please help me answer this
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Answer:

A=124 B=60 and C=60

Hope this helps.

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