Mixed Graphing Quadratic Functions

Front

What do we call the graph of a quadratic function?

Back

parabola

Front

What is the axis of symmetry for the function y= 2x²+8x+2?

Back

x= -2

Front

What is the name of this form: y = ax² + bx + c?

Back

standard form

Front

Will the parabola open up or down for Y = -3x² + 7x - 2?

Back

down

Front

How do you know if a parabola has a minimum?

Back

When ‘a’ is positive there is a minimum.

Front

What is the vertex of a parabola in standard form?

Back

The vertex is the point (h, k) where the parabola changes direction.

Front

What does the 'a' value in the quadratic function y = ax² + bx + c determine?

Back

The 'a' value determines the direction of the parabola (upward if positive, downward if negative).

Front

What is the formula to find the axis of symmetry for a quadratic function?

Back

x = -b/(2a)

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the number of real roots: positive means 2 roots, zero means 1 root, negative means no real roots.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex.