Standard Form Quadratics

Front

What do we call the highest or lowest point of a quadratic?

Back

Vertex

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What is the axis of symmetry for the quadratic function y = 3x² - 6x + 4?

Back

x = 1

Front

What is the vertex of the function f(x) = -x² - 4x + 12?

Back

(-2, 16)

Front

What is the vertex of the parabola y = -2x² - 4x + 1?

Back

(-1, 3)

Front

What does the 'a' in the standard form of a quadratic function y = ax² + bx + c represent?

Back

The coefficient that determines the direction and width of the parabola.

Front

What is the significance of the 'b' in the standard form of a quadratic function?

Back

It affects the position of the vertex along the x-axis.

Front

What does the 'c' in the standard form of a quadratic function represent?

Back

The y-intercept of the quadratic function.

Front

How can you find the vertex of a quadratic function in standard form?

Back

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

Front

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

Back

x = -b/(2a)