Q2 BM Review

Front

What is the domain of the function y = x^2 - 8x + 10?

Back

The domain of the function is (-∞, ∞).

Front

What is the range of the function graphed if the minimum value is -4?

Back

The range of the function is [-4, ∞).

Front

To eliminate y from the equations 3x + 2y - 9z = 13 and 13x + y - z = 10, what should you multiply the second equation by?

Back

You should multiply the second equation by -2.

Front

Does the graph of y = -7x^2 + x + 11 have a maximum or minimum?

Back

The graph has a maximum.

Front

What is the maximum height of the dog jumping a fence modeled by h = -0.3t^2 + 4t + 1?

Back

The maximum height of the dog is 14.3 feet.

Front

Define the term 'quadratic function'.

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 of the parabola represented by the quadratic function.

Front

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

Back

The vertex can be found using the formula x = -b/(2a) for the function f(x) = ax^2 + bx + c.

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, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).