What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(−5x)?

a) vertical stretching and reflection across the x-axis

b) vertical compression and reflection across the x-axis

c) horizontal compression and reflection across the y-axis

d) horizontal stretching and reflection across the y-axis

C)horizontal compression and reflection across the y-axis

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The original equation is:

f(x) = 2x

The new equation is:

f(-5x) = 2(-5x)

f(-5x) = -10*x

The answer is

C)horizontal compression and reflection across the y-axis

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12