Exploring Graphs of Quadratics

Front

What are the green dots called?

Back

Roots or x-intercepts.

Tags

CCSS.HSF-IF.C.7C

Front

Does the equation have a max or min? y = 2x² + 7x + 5

Back

Min.

Front

What is the axis of symmetry for the following equation? y=4x²-8x+9

Back

x=1.

Front

What is the standard form of a quadratic equation?

Back

y=ax²+bx+c.

Front

Use the graph to determine the solutions: What are the x-intercepts?

Back

1 and 3.

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, shaped like a U or an upside-down U.

Tags

CCSS.HSF-IF.C.7A

Front

What does the vertex of a parabola represent?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Tags

CCSS.HSF-IF.C.7A

Front

What are the roots of a quadratic equation?

Back

The roots are the values of x where the quadratic equation equals zero, also known as x-intercepts.

Tags

CCSS.HSA-REI.B.4B