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Find the line of symmetry for the parabola whose equation is y = 2x^2 - 4x + 1.

Give the values of a, b, and c from the general form of the equation (2x + 1)(x - 2) = 0.

What is the line of symmetry for the graph of y = -3x^2 + 12x - 11?

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x?

Which of the following points lies on the graph of y = x^2 - 2x + 6?

The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"?

User Stumbler
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2 Answers

6 votes

Answer:

x = - 1

Explanation:

User Marc Johnston
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the line of symmetry of y = 2x^2 - 4x + 1.
the axis of symmetry of x= - b/2a, so the line of symmetry is x= - 4/2x2= -1
x=-1

the values of a, b, and c from the general form of the equation (2x + 1)(x - 2) =(2x + 1)(x - 2) = 2x²-4x+x-2=2x²-3x-2=ax²+bx+c=0
by identifying, a =2, b=-3 and c=-2


the line of symmetry for the graph of y = -3x^2 + 12x - 11 is x= -b/2a, so
x= -12/2x-3=2, x=2

The x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x, x=-b/2a=-9/6=-3/2

The line of symmetry of the parabola whose equation is y = ax2 - 4x + 3 is x = -2. What is the value of "a"
y = ax2 - 4x + 3, x=-b/2a=-2, implies -b=-2x2a, -(-4)=-2x2a, 4= -4a, a=-1
User Gozde
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