Question 1(Multiple Choice Worth 1 points)(02.05 MC)Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.Two lines labeled f of x and g of x. Line f of x passes through points negative 4, 0 and negative 2, 2. Line g of x passes through points negative 4, 0 and negative 2, negative 10. A) −5 B) - 1/5 C) 1/5 D) 5

By using the graph the value of k is -5 ⇒ answer AStep-by-step explanation:Let us revise some transformationA vertical stretching is the stretching of the graph away from the x-axis  A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.  If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by kIf k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  ∵ g(x) = k f(x)∴ g(x) is the image of f(x) after vertical stretched or compressed by    scale factor of k∴ The y-coordinates of each point on f(x) will multiply by kFrom the graph:∵ f(x) is represented by a line passes through points (-4 , 0)    and (-2 , 2)∵ g(x) is represented by a line passes through points (-4 , 0)    and (-2 , -10)∵ The image of point (-4 , 0) on f(x) = (-4 , 0 × k) ∵ 0 × k = 0∴ The image of point (-4 , 0) on f(x) = (-4 , 0) on g(x)∵ The image of point (-2 , 2) on f(x) = (-2 , 2 × k) ∴ The image of point (-2 , 2) on f(x) = (-2 , 2 k) ∵ The image of point (-2 , 2) on f(x) = (-2 , -10) on g(x)∴ (-2 , 2 k) = (-2 , -10)- Equate the y-coordinates∴ 2 k = -10- Divide both sides by 2∴ k = -5By using the graph the value of k is -5Learn more:You can learn more about transformation in brainly.com/question/2415963#LearnwithBrainly