 SEMATHS.ORG Updated: 21 July 2021 12:13:00 PM

# How to stretch a function?

To stretch or shrink the graph in the y direction, multiply or divide the output by a constant. 2f (x) is stretched in the y direction by a factor of 2, and f (x) is shrunk in the y direction by a factor of 2 (or stretched by a factor of ).

## From these considerations, how do you compress and stretch a function?

How To: Given a function, graph its vertical stretch.
1. Identify the value of a .
2. Multiply all range values by a .
3. If a>1 , the graph is stretched by a factor of a . If 0<a<1 0 < a < 1 , the graph is compressed by a factor of a . If a<0 , the graph is either stretched or compressed and also reflected about the x -axis.

## Furthermore, what happens when you stretch a function?

A stretch or compression is a function transformation that makes a graph narrower or wider. Stretching a graph means to make the graph narrower or wider.

## In the same vein how do you stretch vertically by a factor of 2?

Since B(x) = 2 ∙ A(x), we vertically stretch the graph of A(x) by a scale factor of 2. To do this, we can take note of some points from the graph and find their corresponding values for B(x). To find the new ordered pairs, let's multiply each y-coordinate by 2. We can connect these points to form B(x).

#### How do you find H and K of a function?

For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = b/2a, and then evaluating y at h to find k.

#### What is the smallest non negative integer?

Explanation: Smallest missing non-negative integer from index 0 to 0 is 0. Smallest missing non-negative integer from index 0 to 1 is 0.

#### What is the standard form of a quadratic function?

The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).

#### Which is the smallest negative number?

There are an infinite number of negative integers as they approach negative infinity. So there is no smallest negative integer. the set of negative integers is {-1, -2, -3, }. The greatest negative integer is -1.

#### What is greatest integer function?

The greatest integer function is a function that returns a constant value for each specific interval. These values are the rounded-down integer values of the expression found inside the brackets. Below are some examples of the greatest integer functions: f ( x ) = [ − 5.678 ] g ( x ) = [ − x + 1 ]

#### How do you vertically stretch a function?

When by either f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed. In general, a vertical stretch is given by the equation y=bf(x) y = b f ( x ) .

#### How do you graph an absolute function?

To graph the absolute value, you need to know where the vertex is, so the numbers will be going down, then turn and start going back up, or going up and then turn and start going down, the middle point will be the vertex and should be the center point of the table.

#### What is the greatest negative integer?

The greatest negative integer is the first negative integer from zero. The first negative integer from zero is one less than 0 and the number is – 1.

#### What is not a natural number?

Solution: 0 is not a natural number. It is a whole number. Natural numbers only include positive integers.

#### Is 0 a non negative integer?

A non negative integer is an integer that that is either positive or zero. It's the union of the natural numbers and the number zero. Sometimes it is referred to as Z*, and it can be defined as the as the set {0,1,2,3,…,}. Z, the set of integers, is defined as {…,-3,-2,-1,0,1,2,3,…}.

#### What conclusion can you make about the variables of H and K together?

What conclusion can you make about the variables h and k together? they are vertex p determine the max.or min.

#### Which is the biggest natural number?

There is no largest natural number. The next natural number can be found by adding 1 to the current natural number, producing numbers that go on "forever". There is no natural number that is infinite in size. Any natural number can be reached by adding 1 enough times to the smallest natural number.

#### What does it mean to stretch a quadratic?

Stretch or compress by changing the value of a .
You can represent a stretch or compression (narrowing, widening) of the graph of f(x)=x2 f ( x ) = x 2 by multiplying the squared variable by a constant, a . f(x)=ax2. The magnitude of a indicates the stretch of the graph.

#### What is the smallest number?

0 is the smallest whole number.

#### What does the A value do to a graph?

1. Changing the value of “a” changes the width of the opening of the parabola and that the sign of “a” determines whether the parabola opens upwards or downwards. 2. Changing the value of “b” will move the axis of symmetry of the parabola from side to side; increasing b will move the axis in the opposite direction.

#### What is the greatest integer function of 0?

When the intervals are in the form of [n, n+1), the value of greatest integer function is n, where n is an integer. 0<=x<1 will always lie in the interval [0, 0.9) so here the Greatest Integer Function of X will 0.

#### What is the smallest prime number?

The first 1000 prime numbers
113
1–20241
21–4073137
41–60179241
61–80283367

#### Is 0 the smallest natural number?

(a) Zero is the smallest natural number.
It is a whole number.

#### How do you stretch a quadratic function?

When we multiply a function by a constant, A, the effect is to scale (expand or shrink) the graph vertically. If A > 1, the function is stretched vertically. If A < 1 it is compressed vertically, and if A is negative, it still scales the graph by |A|, but it is also flipped across the x-axis.

#### What does Y a XH 2 K mean?

y = a(x – h)2 + k, where (h, k) is the vertex. In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

#### What is the most negative number?

The boundary between positive and negative numbers is arbitrary, but by convention all negative numbers have a left-most bit (most significant bit) of one. Therefore, the most positive 4 bit number is 0111 (7.) and the most negative is 1000 (−8.).

#### Which is the smallest natural number?

The smallest natural number is 1. It is not possible to write the greatest natural number because natural numbers go up to infinity.

#### Is 21 a natural number?

21 (twenty-one) is the natural number following 20 and preceding 22.
21 (number)
← 20 21 22 →
Ternary2103
Octal258
Duodecimal1912