Question

select the correct answer.
square efgh stretches vertically by a factor of 2.5 to create rectangle efgh. the square stretches with respect to the x - axis. if point h is located at (-2, 0), what are the coordinates of h?
○ a. (-5, 0)
○ b. (-2, 0)
○ c. (0.5, 0)
○ d. (-2, 2.5)

Explanation:

Step1: Understand vertical stretch formula

When a point \((x,y)\) is vertically stretched by a factor \(k\) with respect to the \(x -\)axis, the new coordinates \((x',y')\) are given by \((x,ky)\).

Step2: Apply the formula

Given \(k = 2.5\), \(x=-2\), \(y = 0\).
Substitute into the formula: \(x'=-2\), \(y'=2.5\times0 = 0\)

Answer:

B. \((-2,0)\)