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# The axis of symmetry in a quadratic function

Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves. On this page, we will practice drawing the axis on a graph​. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. The parts of a parabola include: the axis of symmetry (the. The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a. So, the equation of the axis of symmetry of the given​.

### The axis of symmetry in a quadratic function -

That's the point 2 comma But it's being multiplied by a negative number. Every parabola has an axis of symmetry which is the line that divides the graph into two perfect halves. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. One formula works when the parabola's equation is in vertex form and the other works when the parabola's equation is in standard form. So I can rewrite this as y is equal to-- well, I can factor out a negative 2. Now, substitute a few more x -values in the equation to get the corresponding y -values.

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Parabola vertex and axis of symmetry - Quadratic equations - Algebra I - Khan Academy

### : The axis of symmetry in a quadratic function

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### The axis of symmetry in a quadratic function -

And the maximum point on this downward-opening parabola is when this expression right here is as small as possible. If you wanted a quick and dirty way to figure out a vertex, there is a formula that you can derive it actually, doing this exact same process we just did, but the formula for the vertex, or the x-value of the vertex, or the axis of symmetry, is x is equal to negative b over 2a. That is a reflection of the left-hand side along that axis of symmetry. But I'll show you how to apply the formula at the end of this video, if you see this on a math test and just want to do it really quickly. If I had a positive 4 over there, then this would be a perfect square. Practice: Features of quadratic functions: strategy.

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