What is the equation of the axis of symmetry of the graph of y+3x-6=-3(x-2)2+4
1 answer:
A graph shows the vertex to be at (1.5, 4.75).
The equation of the axis of symmetry is x=1.5.
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If you want to find it analytically, you can put the equation in standard form.
y = -3(x -2)² +4 -(3x -6)
y = -3x^2 +9x -2
This is of the form y = ax² +bx +c with a=-3 and b=9. The axis of symmetry is given by ...
x = -b/(2a) = -9/(2×(-3)) = 3/2 . . . . . same as above
The equation of the axis of symmetry is x=1.5.
_____
If you want to find it analytically, you can put the equation in standard form.
y = -3(x -2)² +4 -(3x -6)
y = -3x^2 +9x -2
This is of the form y = ax² +bx +c with a=-3 and b=9. The axis of symmetry is given by ...
x = -b/(2a) = -9/(2×(-3)) = 3/2 . . . . . same as above
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The length of the AB is 22 units if the length of AC is 44 units and DB is the median of the triangle.
<h3>What is the triangle?</h3>The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The figure is missing.
The figure is attached to the picture, please refer to the picture.
We have a triangle shown in the picture.
As we know, the median bisects the side length into two equal parts.
AB = AC/2
AC = 44 units
AB = 44/2
AB = 22 units
Thus, the length of the AB is 22 units if the length of AC is 44 units and DB is the median of the triangle.
Learn more about the triangle here:
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