What is the equation of the function shown in the graph, given the equation of the parent function is f(x)=1.5x ?

g(x)=1.5x−2

g(x)=1.5x−3

g(x)=1.5x−4

g(x)=1.5x+2
an exponential function on a coordinate plane with x and y axis in increments of 1 increasing from negative 5 to 5. the function increases from left to right beginning infinitely close in the third quadrant to a dashed horizontal line at y equals negative 4. the function increases through begin ordered pair 0 comma negative 3 end ordered pair and continues to increase through begin ordered pair 2 comma negative 1.75 end ordered pair. the function continues to increase through the second quadrant and out of the first quadrant.

Step-by-step explanation:

Given:

The parent function is given as:

Let us consider a point on and compare their transformation.

The easiest point to consider is the y-intercept. At the y-intercept, the value of 'x' is 0.

The y-intercept of the function is for . So,

The y-intercept of is the point (0, 1).

Now, as per question, the transformed function passes through the point (0, -3). Therefore,

The function in the graph has the y-intercept equal to -3  as at y-intercept, the 'x' value is 0.

Therefore, the y-intercept of is the point (0,-3).

Now, consider the transformation for the points (0, 1) and (0, -3).

Here, the 'x' value remains the same but the 'y' values decreases by 4 units. So, the rule will be:

As per translation rules, if C units is added to 'y' value, then the graph moves up if 'C' is positive and moves down if 'C' is negative.

Also, the equation is of the form:

Here, .

Therefore, the graph shifts down by 4 units.

The equation of the function is given as:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i