Quadratic Characteristics 4.2 - 4.3 RECAP

Front

What is the parent function of a quadratic equation?

Back

f(x) = x²

Front

How does moving a quadratic function down by 1 unit affect its equation?

Back

The equation becomes f(x) = x² - 1.

Front

Where is the function f(x) = x² - 1 decreasing?

Back

(-1, ∞)

Front

What is the y-intercept of the function y = x² - 6x + 5?

Back

(0, 5)

Front

What do we call the graph of a quadratic function?

Back

Parabola

Front

What determines if a parabola opens upwards or downwards?

Back

The sign of the leading coefficient (a) in the equation y = ax² + bx + c.

Front

If a = -3 in the equation y = ax² + bx + c, what direction does the parabola open?

Back

Downwards.

Front

What is the vertex of the parabola given by the equation y = x² - 4x + 4?

Back

(2, 0) - it's the point where the parabola changes direction.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry is given by x = -b/(2a).

Front

What is the formula for the quadratic equation?

Back

y = ax² + bx + c.