Answer:
B. The graph flips over the x-axis
Step-by-step explanation:
<u>Properties of : c · f(x)</u>
- Graph opens wider/more narrow
- If the absolute value of c is greater than one, the shape narrows
- If the absolute value of c is less than one, it widens
- It can also affect any applied horizontal/vertical shifts
- If c is negative, the shape is reflected over the x-axis (upside-down)
<em><u>In this case, the question is only asking if the function flips a certain way. As seen, "c," (as shown above) is -1, which is less than one. This means that the function will be flipped over the x-axis.</u></em>
<em><u></u></em>
<span>Given that triangle
NLM is reflected over the line segment as shown, forming triangle ABC.
When a point is refrected across a line, the relative distance form the point to the line of refrection is preserved. That is the distance from the point to the line of refrection is equal to the distance of the image to the line of refrection.
Thus, from the figure, it can be seen the point B is of the same distance to the line of refrection as point M, so is point A to point L and point C to point N.
Thus, </span><span>ΔNLM is similar to </span><span><span>ΔCAB
Therefore, the</span> congruency statement that is correct is ΔNLM ≅ ΔCAB</span>