Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Let's analyze the given linear function [tex]\( h(x) = -\frac{2}{3} x + 5 \)[/tex].
To understand how to move the graph down by 3 units, let's focus on the part of the equation that is responsible for shifting the graph vertically. This part is the constant term, [tex]\( b \)[/tex], which in this case is 5.
When you change the value of [tex]\( b \)[/tex], it affects the vertical position of the graph without affecting its slope.
To move the graph down by 3 units, we need to subtract 3 from the current value of [tex]\( b \)[/tex]:
[tex]\[ b = 5 - 3 = 2 \][/tex]
So, the new equation of the function after this change becomes:
[tex]\[ h(x) = -\frac{2}{3} x + 2 \][/tex]
This modifies the vertical position of the graph by shifting it downward by 3 units.
Therefore, the correct change to move the graph down by 3 units is to change [tex]\( b \)[/tex] to 2. This means the correct answer is:
- The value of [tex]\( b \)[/tex] to 2
To understand how to move the graph down by 3 units, let's focus on the part of the equation that is responsible for shifting the graph vertically. This part is the constant term, [tex]\( b \)[/tex], which in this case is 5.
When you change the value of [tex]\( b \)[/tex], it affects the vertical position of the graph without affecting its slope.
To move the graph down by 3 units, we need to subtract 3 from the current value of [tex]\( b \)[/tex]:
[tex]\[ b = 5 - 3 = 2 \][/tex]
So, the new equation of the function after this change becomes:
[tex]\[ h(x) = -\frac{2}{3} x + 2 \][/tex]
This modifies the vertical position of the graph by shifting it downward by 3 units.
Therefore, the correct change to move the graph down by 3 units is to change [tex]\( b \)[/tex] to 2. This means the correct answer is:
- The value of [tex]\( b \)[/tex] to 2
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.