PLEASE HeLP ME!!!! IM TIMED

Mathematics

1 answer:

ankoles [38]3 years ago

4 0

Answer:

4 units to the left

Step-by-step explanation:

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What is the domain and range for the following function and its inverse?

Basile [38]

Answer:

"f(x)

domain: all real numbers, range: all real numbers

f–1(x)

domain: all real numbers, range: all real numbers"

Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function, domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

4 0

3 years ago

How does the graph of y= -(2x+6)^2+3 compare to the graph of a parent function

raketka [301]

Here the list of the transformations applied to the parent function, and their effect:

$x^2 \to (2x)^2=4x^2$ . This causes a horizontal compression of factor 4.
$(2x)^2 \to (2x+6)^2= 4(x+3)^2$ . This causes a horizontal translation, 3 units to the left.
$(2x+6)^2 \to -(2x+6)^2$ . This causes a reflection about the x axis.
$-(2x+6)^2 \to -(2x+6)^2+3$ . This causes a vertical translation, 3 units up

So, if you start from the graph of $y=x^2$ , you have to compress and translate it horizontally, flip it with respect to the x axis, and finally move it up 3 units.