Question

When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect?

There will be no change to the graph because the exponential portion of the function remains the same.
The y-intercept is 22 spaces higher.
The x-intercept is 22 spaces higher.
All input values are moved 22 spaces to the right.

Answer 1

Well we know that the +22 is the y-value.

Now "+" means more, higher, etc.

So now what can you conclude?

@celinegirl

Answer 2

B?

Answer 3

y=F(x)+C
is shifted C units up (if C is a positive number)

from the parent function
y=F(x)

Answer 4

And if you had
y=F(x)-C
(where C is positive, and thereby -C is a negative number)
then that is shifted C units down,

from the parent function
y=F(x)

Answer 5

y=F(x+C)
shift left by C units from y=F(x).

y=F(x-C)
shift right by C units from y=F(x).

(where C, again, is a positive number/constant)

Answer 6

y=C•F(x)

For positive C, such that 0<C<1
you are stretching the function

When C=1, nothing happens to y=F(x).

For positive C, such that C>1
you are shrinking the function (taller but thinner)

Answer 7

y=C•F(x)

For negative C, such that 0<C<1
you are stretching the function,
and reflecting the function over the x-axis.

When C=-1, just reflects the function over the x-axis.

For negative C, such that C>1
you are shrinking the function (taller but thinner),
and reflecting the function over the x-axis.

Answer 8

y=F(-x)

is a reflection over the y-axis.

(Sometimes reflection over the y-axis and the x-axis can be the same action,
and that is when the F(x) is a line)

Answer 9

@idku hm I think I got some of that ha

Answer 10

It's not a single time ,it should be twice ha ha