Standard Form Quadratics Basics

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is ax² + bx + c.

Front

What is the formula to find the axis of symmetry of a parabola?

Back

x = -b / (2a)

Front

Where is the axis of symmetry for the parabola y = 2x² - 4x + 1?

Back

x = 1

Front

What does it mean if a parabola opens upwards?

Back

It means the vertex is a minimum point.

Front

What does it mean if a parabola opens downwards?

Back

It means the vertex is a maximum point.

Front

How can you determine if a quadratic function has a maximum or minimum?

Back

By checking the sign of 'a' in the standard form ax² + bx + c. If 'a' is positive, it has a minimum; if 'a' is negative, it has a maximum.

Front

What is the vertex of a parabola in standard form?

Back

The vertex is the point (h, k) in the vertex form y = a(x - h)² + k.

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value determines the width and direction of the parabola.

Front

What is the y-intercept of a quadratic function in standard form?

Back

The y-intercept is the value of c in the equation ax² + bx + c.

Front

How do you find the maximum or minimum value of a quadratic function?

Back

Substitute the x-coordinate of the vertex into the function.