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2 years ago

Graph the quadratic function ƒ(x) = 2(x − 3)2 − 2

Mathematics

1 answer:

Dahasolnce [82]2 years ago

6 0

Answer:

ƒ(x) = (x - 2)^2 + 1

Step-by-step explanation:

To make f(x) be a translation of the graph of g(x) by (h, k), write it as ...

f(x) = g(x -h) +k

You want to translate g(x) = x^2 by (2, 1), 2 units right and 1 unit up, so the function f(x) is ...

f(x) = g(x -2) +1

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NARA [144]

Answer:

Step-by-step explanation:

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2 years ago

if a point on the graph of a proportional relationship is located at 3,4, can you determine the constant of proportionality? exp

Mashutka [201]

The answer is: No, because we also need to know the type of proportionality

In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.

1. Direct Proportionality:

If there are two variables x and y, we can write the relationship between them as follows:

$y=kx$

So, by substituting the point in this equation we have that the constant of proportionality is:

$4=k(3) \\ \\ \therefore \boxed{k=\frac{4}{3}}$

2. Inverse Proportionality:

In this case, the relationship is:

$y=\frac{k}{x}$

So, the constant of proportionality is:

$4=\frac{k}{3} \\ \\ \therefore \boxed{k=12}$

As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.

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3 years ago

The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?

jonny [76]

Answer:

$\displaystyle -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Average Rate of Change: $\displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Step 1: Define

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

Step 2: Find Average

Substitute in variables [ARC]: $\displaystyle \frac{f(3) - f(-1)}{3 + 1}$
Substitute: $\displaystyle \frac{-4 - 4}{3 + 1}$
[Fraction] Subtract/Add: $\displaystyle \frac{-8}{4}$
[Fraction] Divide: $\displaystyle -2$

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2 years ago

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leva [86]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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