The graph of a linear equation contains the points (3,11) and (-2,1) Which point also lies on the graph

Mathematics

2 answers:

ololo11 [35]4 years ago

8 0

My answer on a pitcure
thankss

Svet_ta [14]4 years ago

6 0

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{1 - 11}{-2 - 3} = \frac{-10}{-5} = 2$

y - y₁ = m(x - x₁)
y - 11 = 2(x - 3)
y - 11 = 2(x) - 2(3)
y - 11 = 2x - 6
+ 11 + 11
y = 2x + 5

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Given a quadratic function in vertex form:

Alja [10]

Answer:

See below

Step-by-step explanation:

Part A

A vertical stretch takes place when $a\cdot f(x)$ given that $|a| > 1$

Part B

A vertical compression takes place when $a\cdot f(x)$ given that $0 < |a| < 1$

Part C

A vertical stretch is different than a horizontal compression:

In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

Part D

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of $a$ must be negative such that $a\cdot f(x)$ as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.