Graphing Quadratics and Transformations

Front

Find the Vertex: y = x² + 6x + 4

Back

(-3, -5)

Front

The shape of the graph of a quadratic equation is known as

Back

a parabola

Front

Does this parabola have a maximum or minimum?

Back

Minimum

Front

A vertex that represents the LOWEST point on a graph is called _____

Back

minimum

Front

Does the quadratic have a max/min vertex, and does the graph open up/down?

Back

max/ opens down

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

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

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

What is the axis of symmetry in a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from the equation y = ax² + bx + c.

Front

What is the vertex of a parabola in standard form?

Back

The point (h, k) where h = -b/(2a) and k = f(h).

Front

What does it mean if a parabola opens upwards?

Back

It has a minimum vertex.