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OlgaM077 [116]
2 years ago
11

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g

raphs? Select three options.
Mathematics
1 answer:
hoa [83]2 years ago
6 0

Using translation concepts, the correct statements are given as follows:

  • Ava's graph is vertical translation of x².
  • Ava's graph has a y-intercept of 4.
  • Victor's graph moves 4 units from f(x) = x² in a positive direction.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Ava's graph is given by:

h(x) = x² + 4.

It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.

Victor's graph is given by:

g(x) = (x + 4)²

Which means that it moves 4 units from f(x) = x² in a positive direction.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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Answer:

= 149˚

Step-by-step explanation:

All you have to do is add the degrees together. They are asking how many degrees there are from point E to point G. Just add and you're golden!

Hope this helps!

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7 0
4 years ago
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What is the longest line segment that can be drawn in a right rectangular prism that is 14cm​ long, 13cm​ wide, and 11cm​ tall?
vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

(diagonal)^{2} = (length)^{2} + (width)^{2}

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diagonal = \sqrt{365} = 19.1cm

In conclusion, the length of the longest diameter is 19.1cm

Learn more about Right rectangular prism: brainly.com/question/3317747

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4 0
2 years ago
The perimeter of a rectangular herb garden is 74 feet. If the length is 5 feet longer then 3 times it’s width what is the garden
NemiM [27]

Answer:

width = 8 feet and length = 29 feet

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37 = 3x + 5 + x

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Help please. ,,.,,.,.,.,.,.,.,
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It depends, are you trying to find area or perimeter?
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