Rectangle DEFG with vertices D(-4, 3), E(0, 2), F(-2, 6), and G(-6, -5): (x + 4, y + 1)
1 answer:
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<u>Part A</u>
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So, the x-intercepts are
<u>Part B</u>
The vertex will be a minimum because the coefficient of is positive.
The x-coordinate of the vertex is
Substituting this back into the function, we get
So, the coordinates of the vertex are
<u>Part C</u>
Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.
The graph is shown in the attached image.
The rationalized expression in general term is given by: (-8 -4√2) / 3
<h3>What is rationalization?</h3>Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.
As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.
(8√2 / 6-3√8 ) Multiply by ( 6+3√8)/( 6+3√8)
(8√2 / 6-3√8 )( 6+3√8)/( 6+3√8)
8√2(6+3√8) / (6-3√8)² Expand the denominator using the FOIL method.
8√2(6+3√8) / (36 - 18√8 + 18√8 - 72)
8√2(6+3√8) / -36
48√2 + 24√2√8 / -36 ::::. √8 = 2√2
48√2 + 96 / -36
-12(4√2 + 8) / 12x3
(-8 -4√2) / 3 is the result.
Learn more about rationalization in:
#SPJ4
Answer:
<h2>B) x = 1 and 5</h2>Step-by-step explanation:
x-intercept: the intersection point of the graph with the x axis.
Therefore, the x-intercepts are x = 1 and x = 5 (<em>look at the picture)</em>.
