Graphing Quadratics in Standard form

Front

Identify A, B, and C in the quadratic equation y=3x²-8+5x.

Back

A=3, B=5, C=-8

Front

What is the formula to find the axis of symmetry of a parabola?

Back

x = -b / (2a)

Front

What is the y-intercept of the quadratic equation y=3x²+5x-8?

Back

(0, -8)

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of the parabola represented by the equation y=3x²+5x-8?

Back

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

Front

What does the green dot on the parabola represent?

Back

It represents the maximum or minimum point of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

How do you determine if a parabola opens upwards or downwards?

Back

If a > 0, it opens upwards; if a < 0, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

Front

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

Back

It determines the width and direction of the parabola.

Tags

CCSS.HSF-IF.C.7A

Front

What are the roots of a quadratic equation?

Back

The values of x where the parabola intersects the x-axis.

Tags

CCSS.HSF-IF.C.7A

Front

How can you find the roots of a quadratic equation?

Back

By using the quadratic formula: x = (-b ± √(b²-4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B