All categories

2 years ago

Function g is a transformation of function f.

Mathematics

1 answer:

bulgar [2K]2 years ago

4 0

The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given:

genera form of an exponential function is y=aeᵇˣ

Now, equation for f(x) is

f(x) = $e^{(log \;2)x} -2$

Similarly, graph for g(x) is

g(x) = $-3e^{(log \;2)x} +6$

Comparing the two function a relation can be establish

g(x) = -3[f(x)]

Learn more about Equation here:

brainly.com/question/2263981

#SPJ1

You might be interested in

Expressions are equivalent???

Semenov [28]

Answer:

only the first option is equivalent

Step-by-step explanation:

4 0

3 years ago

Pete wants to buy a stack of clothing that totals $200. The sales tax is 6%. If you add the tax to his total bill what is Pete's

lara [203]

When you calculate that all up you get 212 <span />

6 0

3 years ago

Read 2 more answers

Evaluate the function f(x) = x2 +1 for f(2).<br> 1<br> 5<br> 7

zaharov [31]

Answer:

b) 5

Step-by-step explanation:

f(x) = x² + 1

f(2) = (2)² + 1

= 4 + 1

= 5

8 0

3 years ago

3 Ximena draws an X shape in the coordinate plane as shown. Draw the images of

VARVARA [1.3K]

When a shape is rotated, it must be rotated around a point.

<em>See attachment for the image of each rotation.</em>

To do this, the top coordinates of the X shape will be transformed using the appropriate rotation rule; the same rule will then be applied to the other parts of the X shape.

The top coordinates of the X shape are:

$A = (0,0)$

$B = (1,0)$

$C = (3,0)$

$D =(4,0)$

For 90 degrees counterclockwise rotation, the rule is:

$(x,y) \to (-y,x)$

So, we have:

$A' = (0,0)$

$B' = (0,1)$

$C' = (0,3)$

$D' = (0,4)$

For 180 degrees rotation, the rule is:

$(x,y) \to (-x,-y)$

So, we have:

$A' = (0,0)$

$B' = (-1,0)$

$C' = (-3,0)$

$D' = (-4,0)$

For 270 degrees counter rotation, the rule is:

$(x,y) \to (y,-x)$

So, we have:

$A' = (0,0)$

$B' = (0,-1)$

$C' = (0,-3)$

$D' = (0,-4)$

See attachment for the image of each rotation