Unit 5 & 6 Review (OPTIONAL) TEST MONDAY & TUESDAY!!

Front

In the equation f(x) = ax^2 + bx + c, what does c tell you about the shape of the graph?

Back

c represents the vertical translation of the graph.

Front

What is the focal point of the quadratic y = -1/12 x^2 + 5?

Back

The focal point is at (0, 2).

Front

A quadratic function has the solution x = ±4i. What is the quadratic function in standard form?

Back

The quadratic function is x^2 + 16.

Front

How many solutions does the equation x^2 + 16 = 0 have?

Back

It has 2 complex solutions.

Front

What does the term 'quadratic function' refer to?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the opening.

Front

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

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What does the discriminant of a quadratic equation tell you?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: if positive, there are 2 real solutions; if zero, 1 real solution; if negative, 2 complex solutions.

Front

What is the standard form of a quadratic function?

Back

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

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola's opening and its width.