# Write a function in standard form

So standard form for a quadratic equation is ax squared plus bx plus c is equal to zero. So essentially you wanna get all of the terms on the left-hand side, and then we want to write them so that we have the x terms  Standard Form of a Line by: Discussion The standard form of a line is just another way of writing the equation of a line. It gives all of the same information as the slope-intercept form that we learned about on Day 5 just written differently.

Recall that the slope-intercept form of a line is: To change this into standard form, we start by moving the x-term to the left side of the equation. This is done by subtracting mx from both sides. The coefficient of the x-term should be a positive integer value, so we multiply the entire equation by an integer value that will make the coefficient positive, as well as, all of the coefficeints integers.

This gives us the standard form: Write the equation of the line: First, we need to move the x-term to the left side of the equation so we add 3x to both sides. Doing this gives us: Here, the coefficient of the x-term is a positive integers and all other values are integers, so we are done.

Again, start by moving the x-term to the left. Subtract 2x from both sides to get: We need the x-term to be positive, so multiply the equation by -1 to get our answer: First, we have to write the equation of a line using the given information.

Substitution gives us the equation of the line as: Now, we must convert to standard form. Finally, we must get rid of the fraction so, we clear the fraction by multiplying by the common denominator of all of the terms which is 4.

This multiplication yields the answer which is: I have seen it where fractions have been allowed to stay in standard form. In particular, our book would not have cleared the fraction in example 4.

The authors would have left the answer as: However, for our class, we will clear the fractions. It is a very useful skill that will come in handy later in the year.Given the truth table of a logical function, it is possible to write the function as a "sum of products".

This is a special form of disjunctive normal form. For example, if given the truth table for the arithmetic sum bit u of one bit position's logic of an adder circuit, as a function of . The graph on the right shows the theoretical probability of getting a given number heads in ten flips of a fair coin.

If this experiment was performed many times you would expect an average of heads. kcc1 Count to by ones and by tens.

## - Logarithmic Functions and Their Graphs

kcc2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). kcc3 Write numbers from 0 to Represent a number of objects with a written numeral (with 0 representing a count of no objects).

kcc4a When counting objects, say the number names in the standard . Oct 21,  · a: determines width on parabola and absolute value functions. h or k only affects the vertex coordinates if the function has a vertex.

Otherwise, each value (that you know) on the function has to be moved left, right, up, or down based on h and k. Jul 24,  · To write an exponential function given a rate and an initial value, start by determining the initial value and the rate of interest. For example if a bank account was opened with \$ at an annual interest rate of 3%, the initial value is and the rate isViews: K.

When the equation of a circle appears in the standard form, it provides you with all you need to know about the circle: its center and radius. With these two bits of information, you can sketch the graph of the circle. Change the order of the terms so that the x‘s and y‘s are grouped together.

Transfer Function ↔ Pole Zero