By understanding and applying the concepts of dilation and <em>quadratic</em> functions, the function g(x) is a <em>vertically dilated</em> version of f(x) by a factor of 5.
<h3>How to compare the graphs of two functions</h3>
In this questions we know two <em>quadratic</em> equations of the form y = a · x². f(x) is known as the <em>canonical</em> function as a = 1 and g(x) is the consequence of <em>dilating</em> f(x) <em>vertically</em> by a factor of 5. Now we proceed to present graphically between the two functions.
In a nutshell, the function g(x) is a <em>vertically dilated</em> version of f(x) by a factor of 5.
To learn more on quadratic functions: brainly.com/question/2263981
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Answer:
(a)
(b)
Step-by-step explanation:
Given
Solving (a): Reflect across x and y-axis.
Reflection across x-axis has the following rules
So, we have:
Reflection across y-axis has the following rules
So, we have:
Hence, the new point is: (-4,-3)
Solving (b): Rx . Do,2 (2,4)
reflect across the x-axis
Reflection across x-axis has the following rules
So, we have:
---- when P is reflected across the x-axis
dilate by a scale factor of 2
The rule is:
So, we have
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