Unit 2 Review

Front

What is the quadratic formula?

Back

Front

Solve the quadratic equation: 2x^2 + 7x - 15 = 0

Back

The solutions are x = -5 or x = 1.5.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the sign of the leading coefficient.

Front

If f(x) = x^2, what is g(x) if it is a transformation of f(x) that shifts it 3 units to the right?

Back

g(x) = (x - 3)^2.

Front

What is a real zero of a function?

Back

A real zero of a function is a value of x for which the function equals zero, meaning the graph intersects the x-axis.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola is determined by the sign of the leading coefficient: if it is positive, the parabola opens upwards; if negative, it opens downwards.

Front

What is the axis of symmetry in a parabola?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

Solve the quadratic equation: y = -x^2 - 5x + 12 using the quadratic formula.

Back

The solutions are x = 2 or x = -6.