We're glad you stopped by The graph of tex y x tex is transformed as shown in the graph below Which equation represents the transformed function On a coordinate plane. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
The equation that represents the transformed function, given the graph, would be A. y = StartAbsoluteValue one-fourth x EndAbsoluteValue or A. y = | 1 / 4 |.
How to find the equation ?
The given absolute value function has a vertex at (0, 0) and goes through (±4, 1). We can see that the graph has been stretched horizontally compared to the standard absolute value function y = |x|.
To find the equation of the transformed function, we can use the form y = |kx|, where k is the horizontal stretch factor.
Since the point (4, 1) lies on the transformed function, we can plug these coordinates into the equation and solve for k:
1 = |k x 4|
1/4 = |k|
Since the graph is stretched horizontally, k is positive. Therefore, k = 1/4.
Now we can write the equation for the transformed function:
y = | 1 / 4 |
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