One of the things that is tells you is how far away it is from zero.
Chat with our AI personalities
Vertical.
The formula for the vertex form is: f(x) = a(x-h)^2 + k Where (h,k) is the vertex. The equation also tells us the direction of opening, which is the a value, in this case opens up because a is positive. It tells us the step pattern, which when a is equal to one is always 1,3,5. However, when the a value is a number other than one, you muct multiply the value by 1,3,5.
The absolute value of a number is the distance the number is away from 0. For example, on the number line 2 is 2 units from 0 So |2|=2. But, -2 is also 2units away from 0 on the number line, so |-2|=2 as well. In general for any real number x , |x| is the distance from x to 0 on the number line. That helps us see why if x is a negative number, the distance from zero must still be positive. So for x<0, |x| is -x. For example, if x is -2, the absolute value is -(-2) which is positive 2. In general is a and b are real numbers |a-b|=|b-a| and both are the distance between a and b. Now let a =0 and we have |-b|=|b|
Ah, standard form is a way of writing numbers that makes them easier to read and compare. It's when we write a number as a simple string of digits, like 3,456,789. This form helps us quickly understand the value of the number without any extra symbols or words. Just remember, each digit's place in the number tells us its value, creating a beautiful harmony of mathematics on the canvas of numbers.
The number below the bar is called the denominator.The top number of the fraction tells us how many parts we have.We call it the numerator.The bottom number tells us how many parts are in the whole.We call it the denominator.