Quadratic Formula

Front

Solutions of a quadratic equation are also called

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roots, x-intercepts, zeros, All of the above.

Front

If there are no real solutions, the discriminant is

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a negative number.

Tags

CCSS.HSA-REI.B.4B

Front

If there is one solution, the discriminant is

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zero.

Tags

CCSS.HSA-REI.B.4B

Front

The first step in solving quadratic equations is to

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write the equation in standard form.

Tags

CCSS.HSA-REI.B.4B

Front

Why are quadratic equations set equal to zero?

Back

Because we are trying to find the x-intercepts and that happens when y=0.

Front

What is the standard form of a quadratic equation?

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ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the discriminant tell us about the solutions of a quadratic equation?

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It indicates the nature of the roots: positive means two real solutions, zero means one real solution, and negative means no real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

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x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex of a parabola?

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The highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the x-coordinate of the vertex using the coefficients of a quadratic equation?

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x = -b / (2a).