Answer:
The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) = 
Step-by-step explanation:
The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.
Answer:
650%
Step-by-step explanation:
100%=1
6*100=600
1/2=0.5
0.5*100(to get into a percentage) =50
600+50=650
Answer: Franco played for 30 minutes longer than Lain.
Step-by-step explanation:
3 times 60= 180
180-150=30 minutes
Use the vertex form, y=a(x−h)2+k y = a ( x - h ) 2 + k , to determine the values of a a , h h , and k k . Since the value of a a is positive, the parabola opens up. Find p p , the distance from the vertex to the focus. Find the distance from the vertex to a focus of the parabola by using the following formula.
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Answer:
- rotate CCW 90°, reflect across the x-axis
- (x, y) ⇒ (-y, -x) . . . . . both transformations together
Step-by-step explanation:
The vertex order ABC is clockwise in the original figure and also in the first image: A'B'C'. The altitude from AC to B is up in the original and left in the first image, indicating a rotation 90° CCW.
The first transformation is a rotation 90° CCW.
The vertex order of A''B''C'' is CCW, indicating a reflection. The direction of the altitude from A''C'' to B'' is still to the left, so the reflection must be over a horizontal line. We find the x-axis bisects the segments A'A'', B'B'', and C'C'', confirming that it is the line of reflection.
The second transformation is reflection across the x-axis.
_____
Algebraically, the transformations are ...
1st: (x, y) ⇒ (-y, x)
2nd: (x, y) ⇒ (x, -y)
Both together: (x, y) ⇒ (-y, -x).