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3 years ago

Exponential Function:

Mathematics

1 answer:

garri49 [273]3 years ago

8 0

Answer:

e) Horizontal translation to the right of 2 units and vertical translation down of 4 units.

Step-by-step explanation:

Given

f(x) = 5^(x-2) - 4

which is the result of the transformation of the function g(x)= 5^x

We can see that

f(x) = g( x - 2) - 4

This is indicating horizontal shift 2 unit to the right and vertical shift 4 units down

Correct answer option is e)

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Describe the explicit formula?

lukranit [14]

Answer:

its to a power so it is an exponential power

5 0

3 years ago

Determine whether the lines are parallel, intersect, or coincide. x-5y=0, y+1=1/5(x+5)

MAXImum [283]

Answer-

The lines are two coinciding lines or the same lines.

Solution-

The given line equations are

the first one,

$\Rightarrow x-5y=0$

the second one,

$\Rightarrow y+1=\dfrac{1}{5}(x+5)\\\\\Rightarrow 5y+5=x+5\\\\\Rightarrow 5y=x\\\\\Rightarrow x-5y=0$

As we know two line equations $A_1x+B_1y+C_1=0$ and $A_2x+B_2y+C_2=0$ will be,

Parallel if, $\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}$
Coincide if, $\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}$
Intersect if, $\dfrac{A_1}{A_2}\neq \dfrac{B_1}{B_2}$

As here,

$\Rightarrow \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}$

$\Rightarrow \dfrac{1}{1}=\dfrac{-5}{-5}$

(C₁ and C₂ aren't considered as they are 0)

Therefore, the lines are two coinciding lines or the same lines.

4 0

3 years ago

How do you find the vertical asymptote of a rational expression?

ElenaW [278]

Here is the answer to the question. Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. Therefore, in order to find the vertical asymptote of a rational expression, what you are going to do is to set the denominator equal to 0 and solve for x. Hope this helps.

5 0

3 years ago

Kinda need help here

Marat540 [252]

I think the answe is A

5 0

2 years ago

Read 2 more answers

Write an equation in slope intercept form from two points (5,5) and (3,7)

DochEvi [55]

Answer:

y = -x + 10