Chapter 1 Quadratic Graphs

Front

What is the general form of a quadratic function?

Back

y = ax² + bx + c

Front

What is the turning point (vertex) of a quadratic curve?

Back

The highest or lowest point of the curve

Front

Given the equation y = 3(x + 5)² - 4, what are the coordinates of the turning point?

Back

(-5, -4)

Front

How is f(x) = x² + 12x - 2 written in vertex form?

Back

f(x) = (x + 6)² - 38

Front

What are the x-intercepts of a quadratic function?

Back

The points where the graph intersects the x-axis.

Front

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

Back

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

Front

What does it mean if 'a' is positive in a quadratic function?

Back

The parabola opens upwards.

Front

What does it mean if 'a' is negative in a quadratic function?

Back

The parabola opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images.

Front

How do 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.