All categories

3 years ago

The input-output diagram represents F(x) - X+4. What is the missing output value?

Mathematics

2 answers:

yaroslaw [1]3 years ago

6 0

Answer:

Step-by-step explanation:

(5)+4=9

zalisa [80]3 years ago

3 0

<h2>Answer:</h2>

The missing output value is:

<h2>Step-by-step explanation:</h2>

The function in terms of the variable x, where x represents the input value is given by the formula:

$F(x)=x+4$

where F(x) is the output value corresponding to the input value x.

We are asked to find the missing output value i.e. we are asked to find the value of F(x) at x=5.

i.e. we have:

$F(5)=5+4\\\\i.e.\\\\F(5)=9$

Hence, the missing output value is: 9

You might be interested in

A coefficient is a multiplier of a variable true or false

tia_tia [17]

Answer:

True

aoehfampecfajoifa (sorry had to have at least 20 characters for it to post)

4 0

3 years ago

-10 I will give brainliest answer instantly if correct

Alex

Answer:

wait what? Lol thanks for the points luv <3

Step-by-step explanation:

7 0

3 years ago

If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.