Algebra - Unit 9 Review For Test

Front

What is the vertex of the quadratic function f(x) = -x² - 4x + 12?

Back

(-2, 16)

Front

How many solutions does a linear-quadratic system have if it intersects at two points?

Back

2 solutions

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

What is the initial height of a water balloon launched with the equation h(t) = -5t² + 40t + 2?

Back

2 meters

Front

When will the water balloon explode if its height is given by h(t) = -5x² + 20x + 25?

Back

5 seconds

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a) where a and b are coefficients from the standard form.

Front

What does the discriminant of a quadratic equation tell you?

Back

It indicates the number of real solutions: positive means 2 solutions, zero means 1 solution, negative means no real 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

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

Back

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