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SCORPION-xisa [38]
3 years ago
15

How does replacing f(x) with f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative) affect

the graph?
Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0
F(x) + k - Moves the graph k units up.

k f(x)   stretches the graph parallel to y-axis by a facor k

f (kx) stretches  the  graph by a factor 1/k parallel to x-axis

f(x + k)  moves the graph   3 units to the left.

For k negative the first one moves it k units down

for second transform negative does same transfoormation but also reflects the graph in the x axis

For the third transform negative k :- same as above but also reflects in y axis

4th transform -  negative k moves graph k units to the right


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<h3>What is slope?</h3>

The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").

<h3>What is equation?</h3>

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.

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Take a look at the formula below for the slope between two coordinate locations, m.

m = \frac{y_{2}- y_{1} }{x_{2}-x_{1}  }

Here, slope is

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.

The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.

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m(x₂-x₁) +y₁ = y₂.

Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.

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