Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade10

Easy

Question

As the value of h decreases from positive to negative, what is the effect of the graph of $f open parentheses x close parentheses equals 5 to the power of x end exponent$ ?

The graph shifts from left to right
The graph shifts from right to left
The graph shifts from top to bottom
The graph shifts from bottom to top.

hint Hint:

$g open parentheses x close parentheses equals 5 to the power of x minus h end exponent$ is the horizontal translation of $f open parentheses x close parentheses equals 5 to the power of x end exponent$ by $h$ units
If h > 0, the graph is translated to the right by h units.
If h < 0, the graph is translated to the left by h units.

The correct answer is: The graph shifts from right to left

$g open parentheses x close parentheses equals 5 to the power of x minus h end exponent$ is the horizontal translation of $f open parentheses x close parentheses equals 5 to the power of x end exponent$ by $h$ units.
If h > 0, the graph is translated to the right by h units.
If h < 0, the graph is translated to the left by h units.
So, when the value of h decreases from a positive value to a negative value, the graph of the function shifts from right to left.

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.