Semester 1 Review A2 part 3

Front

If the discriminant is negative, then the quadratic has:

Back

2 Complex Solutions.

Front

If the discriminant is positive but NOT a perfect square, then the quadratic has:

Back

2 Irrational Solutions.

Front

If the discriminant equals 0, then the quadratic has:

Back

1 Rational Solution.

Front

What are the zeros of the quadratic equation y = x^2 + 4x?

Back

x = 0 and x = 4.

Front

Convert the equation y = x^2 + 4x + 11 into vertex form.

Back

y = (x + 2)^2 + 7.

Front

What is the discriminant of a quadratic equation?

Back

The discriminant is the value calculated from the coefficients of a quadratic equation, given by b^2 - 4ac.

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

It indicates that there are two distinct real roots.

Front

What does a discriminant of zero indicate about the roots of a quadratic equation?

Back

It indicates that there is exactly one real root (a repeated root).

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula h = -b/(2a) and k = f(h).