Algebra 2 Midterm

Front

What does i^2 equal?

Back

-1

Front

A rock falls from a 500 foot overhang into the lake below. Its fall can be modeled by the function: f(x)=-16x^2+500. How many seconds does it take to hit the surface of the water? (Round to the nearest tenth of a second)

Back

5.6 seconds

Front

Simplify: \sqrt[]{-25}

Back

5i

Front

What is the y-intercept of the function f(x) = 2(x - 5)^2 + 12?

Back

(0, 62)

Front

Factor Completely: x^2 - 7x - 8

Back

(x + 1)(x - 8)

Front

What is the definition of a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the vertex of the parabola given by the function f(x) = 2(x - 5)^2 + 12?

Back

(5, 12)

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is given by b^2 - 4ac and determines the nature of the roots.

Front

What does a negative discriminant indicate?

Back

It indicates that the quadratic equation has no real solutions (the roots are complex).