Solving Quadratics By Graphing

Front

What is the axis of symmetry for the function f(x) = 2x^2 - 2x + 3?

Back

x = 1/2

Front

How many solutions does the equation -x = 2x^2 - 4 have?

Back

Two Solutions

Front

The solutions of a quadratic equation are known as the _____?

Back

Roots

Front

What are the roots to the equation 4x^2 - 35x + 29 = 0?

Back

x = 0.927 & 7.823

Front

Which of the following represents the solutions to the equation 3x^2 + 4x - 20 = 0?

Back

-3.33 and 2

Front

What is a quadratic equation?

Back

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, found at the axis of symmetry.

Front

How do you find the vertex of the quadratic function f(x) = ax^2 + bx + c?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What does it mean if a quadratic equation has no real solutions?

Back

The graph of the quadratic does not intersect the x-axis, indicating the discriminant is less than zero.

Front

What is the discriminant in a quadratic equation?

Back

The value calculated as b^2 - 4ac, which determines the nature of the roots.