Y-intercepts and Zeros of Quadratics

Front

What is the y-intercept of the function f(x) = 2x² - 2x + 1?

Back

The y-intercept is the value of f(0), which is 1.

Front

What does the axis of symmetry of a quadratic function represent?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola.

Front

What are the zeros of a quadratic function?

Back

The zeros (or roots) are the x-values where the function equals zero.

Front

What is another term for the zeros of a quadratic function?

Back

Roots.

Front

How do you find the y-intercept of a quadratic function?

Back

Substitute x = 0 into the function.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola.

Front

How can you determine the number of zeros a quadratic function has?

Back

By using the discriminant (b² - 4ac) from the quadratic formula.

Front

What is the quadratic formula used for?

Back

To find the zeros of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

If a quadratic function opens upwards, what can be said about its vertex?

Back

The vertex is the minimum point of the function.

Front

If a quadratic function opens downwards, what can be said about its vertex?

Back

The vertex is the maximum point of the function.