A2 Unit 2.1, Standard Form of a Quadratic Function

Front

What is the general equation for a parabola in standard form?

Back

y = a(x − h)² + k

Front

What is the equation used to find the x-coordinate of the vertex?

Back

h = \frac{-b}{2a}

Front

Which letters typically represent the vertex of a parabola?

Back

(h, k)

Front

Fill in the blank: The y-intercept of a parabola is the point _____

Back

(0, c)

Front

What does the parameter 'a' in the standard form of a quadratic function indicate?

Back

The value of 'a' determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

Front

What is the axis of symmetry for a parabola in standard form?

Back

The axis of symmetry is the vertical line x = h.

Front

How do you find the y-coordinate of the vertex from the standard form?

Back

The y-coordinate of the vertex is k in the equation y = a(x − h)² + k.

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

How can you determine the direction in which a parabola opens?

Back

By examining the sign of 'a' in the standard form; if 'a' > 0, it opens upwards, and if 'a' < 0, it opens downwards.

Front

What is the formula to find the y-intercept of a quadratic function?

Back

To find the y-intercept, set x = 0 in the equation y = ax² + bx + c, resulting in y = c.