How do you translate an equation?
if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value. Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.
How do you write an equation in a sentence?
An equation is a mathematical sentence that uses an equal sign, =, to show that two expressions are equal. To write a word sentence as an equation, look for key words or phrases such as “is,” “the same as,” or “equals” to determine where to place the equal sign. Write the word sentence as an equation.
How do you translate a function?
How do you translate a function?To horizontally translate a function, substitute ‘x-h’ for ‘x’ in the function.The value for ‘h’ controls how much the graph shifts to the left or right.In our example, since h = -4, the graph shifts 4 units to the left.To vertically translate a function, add ‘k’ onto the end.
What is the difference between an expression and an equation?
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
How do you solve word problems involving algebraic equations?
The best way to approach word problems is to “divide and conquer”. Break the problem down into smaller bits and solve each bit at a time. First, we need to translate the word problem into equation(s) with variables. Then, we need to solve the equation(s) to find the solution(s) to the word problems.
How do you set up an equation?
Basic Steps to Setting Up EquationsDetermine what the question is asking.Write down the relevant information in simple statements.Assign symbols to unknown values that need to be found.Determine how the statements relate to each other mathematically.
How do you write an equation of a line?
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
How do you write an algebraic expression?
Here, we can use them to group 4 and 2—the numbers being added. This is the correct way to write the expression. Based on the order of operations, always solve operations in parentheses first. Here, you’d add 4 + 2, then multiply that sum by 5—in other words, exactly what was written in the original expression.