Quadratic Equations & Functions 5th hour

Front

What is the point called where a parabola opens upwards and has the lowest value?

Back

minimum

Front

How do you solve the equation x² = 16?

Back

Take the square root to find x = ±4.

Front

What is another term for the x-intercepts of a quadratic function?

Back

roots

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k

Front

What are the zeros of a quadratic function?

Back

The values of x where the function equals zero.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

How can you determine the direction a parabola opens?

Back

By the sign of the coefficient 'a' in the quadratic equation.

Front

What is the axis of symmetry in a parabola?

Back

The vertical line that divides the parabola into two mirror-image halves.

Front

What is the formula to find the vertex of a parabola in standard form?

Back

h = -b/(2a), k = f(h) where f(x) is the quadratic function.

Front

What does the discriminant of a quadratic equation tell you?

Back

It indicates the nature of the roots (real and distinct, real and equal, or complex).