The graph of the function f(30x) can be obtained from the graph of y=f(x) by one of the following actions:
a) horizontally stretch the graph of f(x) by a factor of 30
b) horizontally compress the graph of f(x) by a factor of 30
c) vertically stretch the graph f(x) by factor of 30
d) vertically compressing the graph of f(x) by factor of 30

Horizontally compress the graph of f(x) by a factor of 30 ⇒ answer b

Step-by-step explanation:

* Lets revise the vertical and horizontal stretching or compressing

 a graph

- A vertical stretching is the stretching of the graph away from the

 x-axis  

- If k > 1, then the graph of y = k•f(x) is the graph of f(x) vertically  

 stretched by multiplying each of its y-coordinates by k  

- A vertical compression is the squeezing of the graph toward  

 the x-axis.  

- If 0 < k < 1 , then the graph of y = k•f(x) is the graph of f(x)

vertically

 compressed by multiplying each of its y-coordinates by k

- A horizontal stretching is the stretching of the graph away from

 the y-axis

- If 0 < k < 1 , then the graph y = f(k·x) is the graph of f(x) horizontally

 stretched by dividing each of its x-coordinates by k

- A horizontal compression is the squeezing of the graph toward

 the y-axis.

- If k > 1, then the graph of y = f(k•x) is the graph of f(x) horizontally

 compressed by dividing each of its x-coordinates by k.

* Lets solve the problem

- The graph of the function f(30 x) can be obtained from the

   graph of y = f(x)

∵ x multiplied by 30

∴ f(x) is stretched or compressed horizontally

- If the factor greater than 1 then the graph compressed

∵ 30 > 1

∴ f(x) is compressed horizontally by scale factor 30 to obtained

  the function f(30 x)

* Horizontally compress the graph of f(x) by a factor of 30

∡ eia and ∡ kij are congruent

step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629