First convert them to vertex form

first one is y = 2(x + 0.75)^2 - 6.125

2nd is y = -2(x - 0.75)^2 - 3.875

the -2 will cause a reflection of the first equation in the x axis . then a translation down of 6.125 + 3.875 = 10 units , followed by
a translation of -0.75-0.75 = -1.5 units to the right = 1.5

6 0

3 years ago

Which graph best represents the function f(x) = 3(1.5)x?

jok3333 [9.3K]

Answer:

B). graph of increasing exponential function going through point (0, 3)

Step-by-step explanation:

Given function is $f\left(x\right)=3\left(1.5\right)^x$

Now we need to find about which of the given choices best describes the given function. Where given choices are:

A). graph of increasing exponential function going through point 0, 2

B). graph of increasing exponential function going through point 0, 3

C). graph of increasing exponential function going through point 0, 1

D). graph of increasing exponential function going through point 0, 4

plug x=0 into given function

$f\left(x\right)=3\left(1.5\right)^x$

$f\left(0\right)=3\left(1.5\right)^0=3(1)=3$

Hence graph passes through point (0,3).

growth factor 1.5 is greater than 1 so that means it is increasing function.

Hence correct choice is:

B). graph of increasing exponential function going through point (0, 3)

5 0

3 years ago

Read 2 more answers

What is the area of the figure? 128 in2 118 in2 108 in2 48 in2

lys-0071 [83]

Answer:

108 in2

Step-by-step explanation:

5 0

3 years ago