How does the graph of g(x) = x+ 4 compare with the graph of the parent function, fx) = x?

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

7 0

Answer:

It is moved 4 units up.

Step-by-step explanation:

If you have trouble visualizing it, there is an app i recommend, its call Desmos.

olasank [31]3 years ago

5 0

Answer:

g(x) is a translation of f(x) up 4 units

Step-by-step explanation:

We see that the difference between g(x) and f(x) is that g(x) has an additional + 4.

According to transformations, we know that this will be a translation of some sort. Since the + 4 is to the entire function, we know that it is a vertical translation. And, since it is + 4 and not - 4, we know that this is a translation up 4 units.

Thus, g(x) is a translation of f(x) up 4 units.

Hope this helps!

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Given f(x) = | – 5 – 4x| ,find the following:

jasenka [17]

Answer:

$f(10) = 35 \\ \\ f( - 11) = 39 \\ \\ f(12) = 53 \\ \\ f(2) = 13$

Step-by-step explanation:

$f(x) = | - 5 - 4x|$

To solve for the following substitute the value of x in the brackets into the above formula and solve for the value of x

NB:  Absolute value of a negative number is the same number but positive.

So we have

$f( - 10) = | - 5 - 4( - 10)| \\ = | - 5 + 40| = 35 \\ \\ f( - 11) = | - 5 - 4( - 11)| \\ = | - 5 + 44| = 39 \\ \\ f(12) = | - 5 - 4(12)| \\ = | - 5 - 48| \\ = | - 53| = 53 \\ \\ f(2) = | - 5 - 4(2)| \\ = | - 5 - 8| = | - 13| \\ = 13$