What is the image point of (-3,4)after the transformation D2∘R90∘
1 answer:
A composite transformation consists of two or more transformations with a procedure of starting from the rightmost transformation
The location of the image of the point (-3, 4), after the transformation is <u>(-8, -6)</u>
Reason:
The given coordinate is (-3, 4)
The required transformation is
Solution:
A rotation transformation of (x, y) 90° gives (-y, x)
Therefore;
The rotation of the point (-3, 4) 90° counterclockwise gives (-4, -3)
A transformation of D2 is a dilation by a scale factor of 2
Therefore; D2(-4, -3) gives 2×(-4, -3) = (-8, -6)
Which gives;
The image of (-3, 4), after the transformation → (-8, -6)
Learn more about composite transformations here;
You might be interested in
Answer: The ball will hit the ground 4 seconds after being thrown.
Step-by-step explanation:
By definition, the ball hits the grounds when the height is zero.
Then, knowing that the Quadratic function that models that situation is:
You can make it equal to zero:
Now you can use the Quadratic formula:
In this case you can identify that:
Therefore, knowing these values, you can substitute them into the Quadratic formula and then evaluate, in order to find the solution:
Choose the positive solution.
Then, the ball will hit the ground 4 seconds after being thrown.