U2 Quadratics Graphing Flashcard 2024

Front

What is Vertex Form of a quadratic equation?

Back

y=a(x-h)²+k

Front

What are the green dots on a parabola called?

Back

Roots or x-intercepts

Front

What does the vertex of a parabola represent?

Back

The maximum or minimum point of the parabola.

Front

How do you determine if the vertex is a maximum or minimum?

Back

If 'a' in the equation y=ax²+bx+c is negative, the vertex is a maximum; if positive, it's a minimum.

Front

What is the vertex of the quadratic equation y=x²-8x+14?

Back

(4, -2)

Front

How does the parabola open for the equation y=-x²+4x-1?

Back

Down

Front

What is the standard form of a quadratic equation?

Back

y=ax²+bx+c

Front

What is the axis of symmetry in a parabola?

Back

The vertical line that divides the parabola into two mirror images, given by x=h in vertex form.

Front

How can you find the roots of a quadratic equation?

Back

By factoring, using the quadratic formula, or completing the square.

Front

What is the quadratic formula?

Back

x = (-b ± √(b²-4ac)) / (2a)