Vertical parabola opens down so
(y-k)^2=4P(x-h)
(h,k) is center
P is distance from directix to center and from center to focus (it is 1/2 distance between focus and directix)
-1 to -1/2 is a distance of 1/2
1/2 of 1/2=1/4
P=1/4
so move 1/4 down from -1/2
-3/4
center is (2,-3/4)
so
y+3/4=(x-2)^2
minus 3/4
y=(x-2)^2-3/4
f(x)=(x-2)^2-3/4
you made an error, either the last or first option doesn't have -(x+2)^2
Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>
Reflection, translation and rotation are rigid transformation which preserve the shape and size of a figure, forming congruent figures.
Triangle RST was reflected over the x-axis and translated 2 units to the left to form triangle ABC. The figures are congruent.
Find out more on transformation at: brainly.com/question/4289712
#SPJ1
In order for this to be a model of exponential growth, the b term must be greater than 1.
If the b term is between 0 and 1, then it becomes a model for exponential decay as the number will continue to get smaller and smaller for every value of x. Greater than one will continue to grow and therefore be an exponential growth model.
Answer:
Step-by-step explanation:
a) 20% decrease, b) 25% increase
Answer:
180cm^2
Step-by-step explanation:
split it into 2 different triangles one is 24 x 4 and the other is 24 x 11 then add them together
24 x 4 is 96/2 is 48
24 x 11 is 264/2 is 132
add 48 + 132 to get an answer of 180 cm^2
if anything doesnt seem right just comment and i will try and figure out what has gone wrong
hope this helps :)