All categories

3 years ago

Determining the Equation of a Function from a Graph

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer: Given the graph of the function f(x) which is described by a parabola with the vertex at (0, 0) and the graph of the translated function g(x) which is described by a parabola with the vertex at (5, 2).

Notice, that the vertex of the translated function is 5 units to the right and 2 units up of the graph of f(x).

Thus, g(x) is obtained by translating the function f(x) 5 units to the right and 2 units up.

Recall that given a function described by a parabola with vertex at (h, k) as

A translation of a units to the right and b units up will result in

Therefore, the equation of the translated function, g(x) is given by

Step-by-step explanation:

You might be interested in

Help me plspslsplpsl 42x^2+34-8-12

OverLord2011 [107]

$\bf Step-by-step~explanation:$

$\bf Step~1:$

To solve this, we have to simplify these numbers by adding like terms.

$42x^2+34-8-12\\\\(34-8=26, 26-12=14)\\\\42x^2+14\\$

$\bf Step~2:$

Next, we factor our expression. To do so, we look for the greatest common factor of 42 and 14, which is 14. We know that because 42 divided by 14 is 3.

$\frac{42}{14} =3$

$\boxed{ \bf Our~final~answer: 14(3x^2 + 1)}$

8 0

3 years ago

3x+2y+2z = -2<br> 2x+y-z = -2<br> x-3y+z = 0

KatRina [158]

Here you go, I really hope this helps

If you can, it would be appreciated if you can mark this as Brainliest. I'm trying to rank up

7 0

3 years ago

Read 2 more answers

Anybody know the answer???<br> f (-5) = ??

matrenka [14]

Answer:

Step-by-step explanation:

The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.

7 0

3 years ago

1. Eating together, Gertrude and Heathcliff spend 40 minutes each day at a local sunflower bird feeder. In preparation for their

vagabundo [1.1K]

40min*1.05=42min they spent 42 min together

ps: check the multiplication it's 01:30 and I did that in head

8 0

3 years ago

I need help please!!!!!!

34kurt

25/300. the answer is 300 divided by 12 (sections) or 25. So 25/300

3 0

3 years ago