Rename each pair of fractions with common denominator 1/4 and 2/3
2 answers:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
step 1
Find the vertex of the quadratic equation
Convert the equation in vertex form
Complete the squares
Rewrite as perfect squares
The vertex is the point (3.5,0.25)
step 2
Find the x-intercepts
The x-intercepts are the values of x when the value of the function is equal to zero
we have
solve for x
square root both sides
therefore
The x-intercepts are the points (3,0) and (4,0)
step 3
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
we have
For x=0
The y-intercept is the point (0,12)
step 4
Graph the quadratic equation
we have
The vertex (3.5,0.25)
The x-intercepts (3,0) and (4,0)
The y-intercept (0,12)
using a graphing tool
Plot the points and draw the figure
The graph in the attached figure
