Find the slope and y-intercept of the line. 12x + 2y = –60
1 answer:
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Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
<h3>How to get the equation of the parabola?</h3>
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
Answer: The correct options are 1,2 and 3.
Explanation:
If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.
According to the reflection rule across the x-axis,
From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).
After reflection,
Therefore the option 1 and 2 are correct.
From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.
Therefore, the option 3 is correct.
From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.
Therefore, the option 4 is incorrect.
From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.
