All categories

3 years ago

Consider the graph of the parent exponential function f and transformed function g.

Mathematics

1 answer:

trasher [3.6K]3 years ago

3 0

Answer:

Shifted up 5 units, g(x) = -f(x) + 5

Step-by-step explanation:

When you look at the graph of the parent function f and the transformed function g, you can see that after a reflection over the x-axis, you would need to translate the graph 5 units up to produce g.

A reflection over the x-axis is taking the negative of the function and shifing 5 units up is adding 5 to the function, so g(x) = -f(x) + 5

You might be interested in

Solve x to the second power = 144

vfiekz [6]

x ^ 2 = 144

x = 12, x = -12

Check:

12 * 12 = 144

-12 * -12 = 144

6 0

3 years ago

Read 2 more answers

Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Nezavi [6.7K]

$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

7 0

4 years ago

Factor x2 – 256 by difference of squares.

andre [41]

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,

a2−b2=(a+b)(a−b) where a=x and b=16.(+)x16)

Step-by-step explanation:

7 0

3 years ago

Hola me pueden ayudar?TwT

Lana71 [14]

Answer:

Chinese noodles

Step-by-step explanation:

Incident has been made and that the police will not allow the police to take the police to the police station to the police to help us to ensure they have their own safe and safe and safe driving system to ensure they have a safe driving license and the police will provide not to waste any of their baggage protection before the police check out the information contained in the police report

8 0

3 years ago

I need help! Please!!!

11Alexandr11 [23.1K]

Answer:

with what

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers