Parabola Review (Period 4)

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the point where the parabola changes direction. It is the highest or lowest point of the graph, depending on whether it opens upwards or downwards.

Front

How do you find the axis of symmetry for a parabola?

Back

The axis of symmetry of a parabola can be found using the formula x = -b/(2a) from the standard form of a quadratic equation ax^2 + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means that the coefficient 'a' in the quadratic equation is positive, and the vertex is the minimum point of the graph.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means that the coefficient 'a' in the quadratic equation is negative, and the vertex is the maximum point of the graph.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine the direction a parabola opens?

Back

You can determine the direction a parabola opens by looking at the sign of the coefficient 'a' in the quadratic equation. If 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What is the formula for the vertex of a parabola in standard form?

Back

The vertex (h, k) of a parabola in standard form y = a(x - h)^2 + k can be found directly from the equation, where (h, k) is the vertex.

Front

What is the significance of the vertex in a parabola?

Back

The vertex is significant because it represents the maximum or minimum value of the quadratic function, which is crucial for graphing and solving optimization problems.

Front

What is the axis of symmetry for the parabola y = x^2 - 4x + 3?

Back

The axis of symmetry is x = 2, which can be found using the formula x = -b/(2a) where a = 1 and b = -4.

Front

How do you find the y-intercept of a parabola?

Back

The y-intercept of a parabola can be found by evaluating the quadratic equation at x = 0, which gives the point (0, c) where c is the constant term.

Tags

CCSS.HSF-IF.C.7A