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riadik2000 [5.3K]
3 years ago
6

The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

y=ax^{2} +bx+c

The line of symmetry is calculated as:

x=\frac{-b}{2a}

Now, we have the equation y=ax^{2}-4x+3 and the line of symmetry is x=-2

Where:

b=-4\\c=3

So, we can replace b by -4 and x by -2 and solve for a using the following equation as:

x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1

It means that the equation of the parabola is equal to:

y=-1x^{2}-4x+3

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