Transformations of Quadratics

Front

What is the Domain of a quadratic function?

Back

The set of all possible x-values for which the function is defined.

Front

What transformation occurs when changing y=x² to y=-3x²?

Back

Reflection in the x-axis and narrower.

Front

If f(x) = x², what is the effect of g(x) = x² - 5?

Back

The graph shifts down 5 units.

Front

What transformation is applied to f(x) = x² to get g(x) = (x + 4)²?

Back

Shift 4 units to the left.

Front

What is the vertex of the parabola given by y = 3(x + 5)² - 4?

Back

(-5, -4)

Front

What does the 'a' value in y = a(x - h)² + k indicate?

Back

The vertical stretch or compression and direction of the parabola.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

It reflects the graph across the x-axis.

Front

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

Back

Use the formula (-b/2a, f(-b/2a)).

Front

What is the axis of symmetry for the parabola y = ax² + bx + c?

Back

x = -b/(2a).

Front

What does the term 'vertex form' refer to in quadratic functions?

Back

A way to express a quadratic function as y = a(x - h)² + k, where (h, k) is the vertex.