Graphing functions
This type of graph shows a straight line and is represented by the equation y = mx + b.
What is a linear graph?
This is what you call the transformation when every point on a function moves 3 units up.
What is a vertical translation?
This term descives the highest power of the variable in a polynomial
What is the degree?
When graphing x>3 on a number line, this type of dot is used at 3.
What is an open dot?
Factor 3x^2-12x
What is 3x?
This is the name of the graph shape produced by a quadratic function, such as y = x².
What is a parabola?
shift the graph of f(x) = x^2
5 units to the left
HINT (Answer is an equations)
What is x+5
This is the term for numbers that cannot be expressed as a ratio of two integers
What are irrational numbers?
When graphing a linear Inequality, use this type of line if the Inequality symbol is < or >
What is a dashed line?
To factor x^2+7x+12 look for two numbers that multiply to 12 and add up to 7.
What are 3 and 4?
When you shift the graph of f(x) = x² up 3 units, the new function is represented by this equation.
What is f(x) = x² + 3?
Reflecting f(x)facross the y-axis changes f(x) to this function form.
What is f(-x)
This is the term for the number of times an outcome occurs divided by the total number of trials.
Wha is relative frequency?
This describes the area where two Inequalities overlap on a graph.
What is the solution region?
recognize x^3+27 as this type of factoring problem.
What is a sum of cubes?
In the graph of a rational function, this line is approached by the function as it heads to infinity, but it never touches it.
What is an asymptote?
If f(x) transforms to f(2x) the graph undergoes this horizontal transofrmation
What is a horizontal compression by a factor of 2?
This process is used to break down a complex expression
What is factoring?
This method is often used to graphically solve systems of inequalities with two variables
What is shading?
When factoring x^3 - 8 recognize it as this type of exression?
What is the difference of cubes?
The graph of a logarithmic function has this characteristic asymptote along the vertical axis.
What is the y-axis
To ertically stretch f(x)=sin(x) by a factor of 3 and move it down by 1, it becomes this.
What is 3sin(x)-1?
The reciprocal of cosine
What is secant?
In a system of inequalities, the vertices of the solution region are often referred to by this name.
What are corner points?
Factor X^3-6x^2+11x-6 completely?
What is (2x-5)^2?