Solving Quadratics By Graphing

Front

What are the solutions of the quadratic equation x^2 - 6x + 8 = 0?

Back

x = 2 or x = 4

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex of the quadratic function y = x^2 - 4x + 3?

Back

(2, -1)

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a ≠ 0.

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: if > 0, two real solutions; = 0, one real solution; < 0, no real solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is the axis of symmetry in a quadratic function?

Back

The vertical line that divides the parabola into two mirror images, given by x = -b/(2a).

Front

What is the maximum or minimum value of a quadratic function?

Back

The y-coordinate of the vertex; maximum if a < 0, minimum if a > 0.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax^2 + bx + c = 0.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What is the significance of the y-intercept in a quadratic function?

Back

It is the point where the graph intersects the y-axis, given by (0, c).

Tags

CCSS.HSF-IF.C.7A

Front

What is a parabola?

Back

The U-shaped curve that represents the graph of a quadratic function.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean if a quadratic function has no real solutions?

Back

The graph does not intersect the x-axis, indicating the discriminant is less than zero.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7