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dem82 [27]
2 years ago
10

Use the graphs of F and G to evaluate the functions.

Mathematics
1 answer:
n200080 [17]2 years ago
6 0

Answer:

b is 4

Step-by-step explanation:

First, notice that

g(f(2))

means what values of g(x) is when x=f(2).

This means we must find the value of f(2) then plug that value into the function g(x).

f(2) is equal to 0. So we must find

g(0)

according to the graph,

when x=0, g(x) is 4.

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X y = x² y = 2x<br> 0 0 1<br> 1 <br> 2
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Step-by-step explanation:

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3 years ago
What are the transformations to this quadratic function y= (x+4) power of 2 - 8
I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.  

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).

The axis of symmetry occurs at <em>x = h</em>.

<em>a</em> =  determines whether the graph opens up or down, and makes the graph wider or narrower.

<em>h</em> = determines how far left or right the parent function is translated.

<em>k</em> = determines how far up or down the parent function is translated.

Going back to your quadratic function,

          y = (x + 4)² - 8

  • The vertex occrs at (-4, -8)
  • a is assumed to have a value of 1.
  • Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.  
  • Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.

Please mark my answers as the Brainliest, if you find this helpful :)

4 0
2 years ago
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