A2: Fall Final (OPTIONAL)

Front

Rewrite f(x) = x^2 - 10x + 14 in graphing/vertex form by completing the square.

Back

y = (x - 5)^2 - 11

Front

Solve using long division: (x^2 + 2x - 63) ÷ (x + 9)

Back

x - 7

Front

Which equation is a quadratic function reflected over the x-axis and shifted up 2?

Back

y = -x^2 + 2

Front

Which equation is an absolute value graph shifted right 5 units?

Back

y = |x - 5|

Front

If the discriminant is negative, you will have...

Back

two imaginary solutions

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real solutions), zero (one real solution), negative (two imaginary solutions).

Front

How do you complete the square for the expression x^2 - 10x + 14?

Back

1. Take half of -10, square it (25), add and subtract it: x^2 - 10x + 25 - 25 + 14 = (x - 5)^2 - 11.

Front

What is the standard form of a quadratic function?

Back

y = ax^2 + bx + c.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

It reflects the graph over the x-axis.