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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F(x) = 4 - x^2
g(x) = 6x
(g - f)(x) = g(x) - f(x) = 6x - (4 - x^2) = 6x - 4 + x^2
(g - f)(3) = 6(3) - 4 + 3^2
Given the figure, we can deduce the following information:
1. Point A lies in the upper left side of the Cartesian Plane.
Based on the given figure, we must note that if the point lies in the upper left side of the Cartesian Plane or the x-coordinate is negative but the y-coordinate is positive, it should be in the Quadrant II.
Therefore, the answer is B. Quadrant II.
Let the length of the rectangle = 6x and the width = 5x
Area = 6x(5x) = 30x^2 = 4,320
x^2 = 4,320/30 = 144
x = 12 ft
Therefore, length = 6x = 6(12) = 84 ft
Answer:
General Formulas and Concepts:
<u>Algebra I</u>
Terms/Coefficients
<u>Algebra II</u>
Polynomial Division
- Long Division
- Synthetic Division
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
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<u>Step 2: Long Division</u>
<em>See attachment.</em>
- Multiply quotient <em>a</em> and divisor, then subtract from dividend:
- Multiply quotient <em>b</em> and divisor, then subtract from new dividend:
- Multiply quotient <em>c</em> and divisor, then subtract from new dividend:
- Write remainder:
<em>Please excuse the bad handwriting.</em>
