Front

What is the effect of subtracting a constant from a quadratic function, such as in h(x) = f(x) - 2?

Back

The graph of the function moves down by the value of the constant subtracted.

Front

How can you determine if a parabola opens upwards or downwards?

Back

If the coefficient of x^2 is positive, the parabola opens upwards; if negative, it opens downwards.

Front

What is the vertex of a parabola in the form of f(x) = a(x-h)^2 + k?

Back

The vertex is the point (h, k) where the parabola changes direction.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept is found by evaluating f(0), which gives the value of c in the standard form.

Front

What does the vertex represent in the context of a parabola?

Back

The vertex represents the maximum or minimum point of the parabola, depending on its orientation.

Front

What is the significance of the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.

Front

How can you identify the y-intercept from the equation of a parabola?

Back

The y-intercept can be identified as the value of the function when x = 0.

Front

What transformation occurs when the equation of a parabola is in the form f(x) = (x-h)^2 + k?

Back

The graph is translated horizontally by h units and vertically by k units.

Front

What is the general shape of a quadratic function's graph?

Back

The graph of a quadratic function is a parabola.