algebra 2 review

Front

Does this graph have a maximum or a minimum?

Back

Maximum: A point on the graph where the function reaches its highest value in a given interval.

Front

Factor x^2 + 17x - 60

Back

(x + 20)(x - 3) - Factoring a quadratic expression involves finding two binomials that multiply to give the original expression.

Front

What are the zeros of this graph?

Back

Zeros: The x-values where the graph intersects the x-axis, indicating the values of x for which the function equals zero.

Front

Factor p^2 - 14p

Back

p(p - 14) - Factoring involves expressing a polynomial as a product of simpler polynomials.

Front

Expand (7y + 4)(8y + 2)

Back

56y^2 + 46y + 8 - Expanding involves multiplying each term in the first binomial by each term in the second binomial.

Front

What is the vertex of a parabola?

Back

Vertex: The highest or lowest point of a parabola, found at the point (h, k) in the vertex form of a quadratic equation y = a(x - h)^2 + k.

Front

Define a quadratic function.

Back

Quadratic Function: A function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the axis of symmetry in a parabola?

Back

Axis of Symmetry: A vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What does it mean for a function to be increasing?

Back

Increasing Function: A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What is the difference between a maximum and a minimum?

Back

Maximum: The highest point on a graph; Minimum: The lowest point on a graph.