Solve Quadratic Equations

Front

What is another word for zeros in a quadratic equation?

Back

roots

Tags

CCSS.HSF-IF.C.7D

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

Can the quadratic formula be used to solve quadratic equations that cannot be factored?

Back

Yes, the quadratic formula can be used for such equations.

Tags

CCSS.HSA-REI.B.4B

Front

What is the Quadratic Formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Tags

CCSS.HSA-REI.B.4B

Front

What are the coefficients in the quadratic equation ax² + bx + c = 0?

Back

a, b, and c are the coefficients, where 'a' is the coefficient of x², 'b' is the coefficient of x, and 'c' is the constant term.

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant determines the nature of the roots: if it's positive, there are two distinct real roots; if it's zero, there is one real root; if it's negative, there are two complex roots.

Tags

CCSS.HSA-REI.B.4B

Front

How do you solve a quadratic equation using factoring?

Back

Set the equation to zero, factor it into two binomials, and then set each binomial equal to zero to find the roots.

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

The vertex is the highest or lowest point of the parabola, found at the point (h, k) where h = -b/(2a) and k = f(h).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that passes through the vertex, given by the equation x = -b/(2a).

Front

How can you graph a quadratic equation?

Back

Identify the vertex, axis of symmetry, and intercepts, then plot points and draw a smooth curve through them.

Tags

CCSS.HSF-IF.C.7A