Answer: y = -3(x +
)² +
,
,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² + 
y - 1 + -3(
) = -3(x² +
+
)
↑ ↓ ↑
= 
y - 1 -
= -3(x +
)²
y -
-
= -3(x +
)²
y -
= -3(x +
)²
y = -3(x +
)² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex =
,
Answer:
Rotate counter clockwise about the center point 180 degrees
Step-by-step explanation:
You can use transformations to preserve shape and size but move a shape or change its position. Transformations include:
- reflection - a flip across an axis
- rotation - a turn around a point
- translation - a slide a specific distance and direction
To map the red into the blue, you can rotate it counter clockwise about the center point which the red and blue shapes share 180 degrees. It will land exactly on the red.
Answer:
The answer is D)-2x-11y-13
Step-by-step explanation:
the equation framed in the form of y=kx is
and , x as a function of y
.
<u>Step-by-step explanation:</u>
Here we have , The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. We need to find an equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.Is y a function of x . Also , Write an equation describing x as a function of y . Let's find out:
Here , Lin's sister earns $9.60 per hour . Let x represents the hours she works and y represents the dollars she earns . So , According to question following is the equation framed in the form of y=kx :
⇒ 
Yes, y is a function of x , as a straight line with a slope of 9.6
Now , x as a function of y :
⇒ 
⇒ 
Therefore , the equation framed in the form of y=kx is
and , x as a function of y
.