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kramer
3 years ago
8

16) F(-3,-2), 1(-4, 3), A(-2, 3), M(1,-1) to I(-4, -3), A(-2, -3), M(1, 1), F(-3, 2)

Mathematics
1 answer:
pantera1 [17]3 years ago
3 0

Answer:

(234/efr335)-k29504

Step-by-step explanation:

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How does the graph of g(x) = <img src="https://tex.z-dn.net/?f=%28x%2B12%29%5E%7B2%7D" id="TexFormula1" title="(x+12)^{2}" alt="
Law Incorporation [45]

Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

<h2><u>Definitions</u>:</h2>

In the <u>vertex form</u> of a quadratic function, f(x) = a(x - h)² + k, where:

  • (h, k) = vertex of the graph
  • <em>a</em>  = determines the width and direction of the graph's opening.

A <u>horizonal translation</u> to the parent graph is given by, y = f(x - h), where:

  • <em>h</em> > 0 ⇒ Horizontal translation of <em>h</em> units to the right
  • <em>h</em> < 0 ⇒ Horizontal translation of |<em>h </em>| units to the left

In the graph of g(x) = (x + 12)², the <u>vertex</u> occurs at point (-12, 0).

While the <u>vertex</u> of the parent graph, f(x) = x² occurs at point, (0, 0).

<h2><u>Answers</u>:</h2>

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (<em>h</em>, <em>k </em>) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12)²

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is <em>horizontally</em> translated 12 units to the left.  

3 0
3 years ago
Determine the 1-unit growth factor for f f. [We encourage you to write the expression that represents the value of the growth fa
timofeeve [1]

Answer: The complete question is found in the attachment

Step-by-step explanation:

a) To determine the 1-unit growth factor for <em>f</em>

= 2.1/1.75 = 1.2

b) To determine the 1-unit percent change for <em>f</em>

<em>=100 x 1-1.2/1 = 0.2 x 100= 20%</em>

<em>c) to determine the initial value of f</em>

<em>f(x)= abˣ , b =1.2   a=initial value</em>

<em>at (-1,2.1)</em>

<em>2.1= (1.2)⁻¹ x a</em>

<em>a = 2.1/(1.2)⁻¹ </em>

<em>a = 2.1 x 1.2 = 2.52</em>

<em />

<em>d) to determine the function formula for f</em>

<em>f(x)= abˣ = 2.52(1.2)ˣ</em>

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B60%7D%20%7D%7B%5Csqrt%5B3%5D%7B36%7D%20%7D" id="TexFormula1" title=
Margarita [4]
∛60
--------
∛36

=
∛5
------
∛3

=∛45
-----------
3

= 1.185
3 0
3 years ago
Read 2 more answers
Choose yes or no to tell if the digit in the hundreds place is 1/10 the value of the digit in the thousand place. 8,556 , 6,855
Brut [27]
The answer is yes cause it has to be between 1-10 no bigger than just in between 1-10
6 0
3 years ago
Read 2 more answers
Which of the following is not a function?
Lilit [14]

Answer:

option 1 not function....

7 0
3 years ago
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