Graphing Quadratics in Standard Form

Front

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

Back

Vertex

Front

What is the y-intercept of the function f(x) = -2x² + 4x - 6?

Back

(0, -6)

Front

What is the axis of symmetry for the function f(x) = x² - 8x + 15?

Back

x = 4

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c

Front

What does 'c' represent in the equation y = ax² + bx + c?

Back

y-intercept

Front

What shape does the graph of a quadratic function form?

Back

Parabola

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 direction of a parabola if 'a' is positive in the equation y = ax² + bx + c?

Back

Opens upwards

Front

What is the direction of a parabola if 'a' is negative in the equation y = ax² + bx + c?

Back

Opens downwards

Front

What are the zeroes of a quadratic function?

Back

The x-values where the graph intersects the x-axis (f(x) = 0).