Flashcard 11 Practice: Parts of Quadratic Functions

Front

What is the equation for the axis of symmetry in a quadratic function?

Back

x = -b/(2a), where a and b are coefficients from the quadratic equation ax^2 + bx + c.

Front

What are the coordinates of the y-intercept in a quadratic function?

Back

The y-intercept is found by evaluating the function at x = 0, resulting in the point (0, c) where c is the constant term.

Front

What do we call all of the x values or inputs in a function?

Back

Domain.

Front

What do we call all of the y values or outputs in a function?

Back

Range.

Front

What is the y-intercept of the graph of the function y = 2x^2 - 6?

Back

-6.

Front

How do you find the vertex of a quadratic function?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c.

Front

What does the 'a' value in a quadratic function determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

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

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if positive, two real roots; if zero, one real root; if negative, 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.