L29 - Vertex Form FLASHCARDIZZ

Front

What is the axis of symmetry of a parabola?

Back

The axis of symmetry of a parabola is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = h, where (h,k) is the vertex of the parabola.

Front

What is the vertex of the parabola in vertex form?

Back

The vertex of a parabola in vertex form y = a(x-h)² + k is the point (h, k). This point represents the highest or lowest point of the parabola depending on the value of 'a'.

Front

How do you find the x-coordinate of the vertex from the standard form of a quadratic equation?

Back

The x-coordinate of the vertex can be found using the formula x = -b/(2a) from the standard form y = ax² + bx + c.

Front

What does it mean if a parabola opens upwards?

Back

A parabola opens upwards if the coefficient 'a' in the vertex form y = a(x-h)² + k is positive. This means the vertex is the minimum point of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a parabola opens downwards?

Back

A parabola opens downwards if the coefficient 'a' in the vertex form y = a(x-h)² + k is negative. This means the vertex is the maximum point of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

How can you determine the direction a parabola opens from its equation?

Back

You can determine the direction a parabola opens by looking at the coefficient 'a' in the vertex form y = a(x-h)² + k. If 'a' is positive, it opens up; if 'a' is negative, it opens down.

Tags

CCSS.HSF-IF.C.7A

Front

What is the significance of the vertex in a parabola?

Back

The vertex is the point where the parabola changes direction. It is the highest point if the parabola opens downwards and the lowest point if it opens upwards.

Front

How do you write the equation of a parabola in vertex form?

Back

The vertex form of a parabola is written as y = a(x-h)² + k, where (h, k) is the vertex and 'a' determines the width and direction of the parabola.

Front

What is the formula for the axis of symmetry given the vertex?

Back

The formula for the axis of symmetry given the vertex (h, k) is x = h.

Front

If a parabola has a vertex at (3, 4), what is its axis of symmetry?

Back

The axis of symmetry is x = 3.