U2 Quadratics Graphing Flashcard 2024

Front

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

Back

The parabola opens down.

Front

What are the green dots called in a parabola?

Back

They are called roots or x-intercepts.

Front

Which equation matches the graph of a parabola? y=(x-2)²+3, y=(x-2)²-3, y=(x+2)²+3, y=(x+2)²-3

Back

The equation that matches the graph is y=(x-2)²+3.

Front

What is the vertex of the graph of the equation y = -x² + 4x - 1?

Back

The vertex of the graph is (3, -1).

Front

What is the equation for the axis of symmetry in the graph of y = -x² + 4x - 1?

Back

The equation for the axis of symmetry is x=3.

Front

What is a parabola?

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

What does the 'a' value in a quadratic equation determine?

Back

The 'a' value determines the direction in which the parabola opens: if 'a' is positive, it opens up; if 'a' is negative, it opens down.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x-h)² + k, where (h, k) is the vertex.

Front

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

Back

The vertex can be found using the formula h = -b/(2a) and k = f(h).