Substitution

y = 2x - 12
y = -x + 3

-x + 3 = 2x - 12
+ x + x
-----------------------------
3 = 3x - 12
+ 12 + 12
-----------------------
15 = 3x
------ ------
3 3

x = 5

y = 2(5) - 12
y = 10 - 12
y = -2

The final answer is (5,-2).

8 0

3 years ago

The functions below are transformations of the parent function f(x) = 3x. Match each function to it's correct transformation.

topjm [15]

Answer:

there all vertical

Step-by-step explanation:

3 0

3 years ago

The curve with equation y = f ( x ) is stretched so that the point (-3,-5) moves to the point (-3,-10). State in terms of f ( x

Leviafan [203]

Answer:

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

Step-by-step explanation:

Let be $f(x)$ and $g(x)$ continuous functions in x. In this case, the stretch factor consist on multiplying $f(x)$ by a scalar factor, so that:

$g(x) = k \cdot f(x)$ , $\forall\, k\in \mathbb{R}, k \neq 0$

The stretch factor is:

$k = \frac{g(x)}{f(x)}$ , $\forall\, x \in \mathbb{R}$

If $f(-3) = -5$ and $g(-3) = -10$ , then:

$k = \frac{g(-3)}{f(-3)}$

$k = \frac{-10}{-5}$

$k = 2$

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

5 0

4 years ago