!!!!URGENT URGENT GEOMETRY REFLECTIONS!!! PROVIDE EXPLANATION IF POSSIBLE THANKS. BOGUS ANSWERS WILL BE REPORTED
1 answer:
If m is the midpoint between x=a and x=b, then you have
... (a+b)/2 = m
... a+b = 2m
... b = 2m - a
For the case where a=1 and m=6, we find the reflected coordinate to be
... 2·6 - 1 = 11
Now, we want to reflect about the line x=4, so a=11 and m=4. The second reflection results in an x-coordinate of
... 2·4 - 11 = -3
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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
