Vertex (-2,2) point (-4,-10)

Mathematics

1 answer:

Jlenok [28]2 years ago

7 0

Vertex form is
y=a(x-h)²+k
vertex is (h,k)
to solve
input the given vertex and then the given point, solve for a

vertex at (-2,2) and a point is (-4,-10)

y=a(x-(-2))²+2
y=a(x+2)²+2
put point (-4,-10)
-10=a(-4+2)²+2
-10=a(-2)²+2
-10=4a+2
-12=4a
-3=a

y=-3(x+2)²+2

You might be interested in

Which system of linear inequalities is represented by the<br> graph?

ElenaW [278]

Answer:

The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality

5 0

3 years ago

An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the

Akimi4 [234]

Answer:

B. x<27

Step-by-step explanation:

300-165=135

135/5=27

8 0

3 years ago

Pythagoras help needed please

boyakko [2]

Answer:

See explanation

Step-by-step explanation:

Find the diagonal of the square. The side of the square is 5 cm long. By the Pythagorean theorem,

$\text{Diagonal}^2=\text{Side}^2+\text{Side}^2\\ \\\text{Diagonal}^2=5^2+5^2\\ \\\text{Diagonal}^2=25+25\\ \\\text{Diagonal}^2=50\\ \\\text{Diagonal}=\sqrt{50}=5\sqrt{2}\approx 7.07\ cm$

If the square (being inside the circle) touches the circle, then the diagonal of the square is exactly the diameter of the circle. The diameter of the circle is twice the radius of the circle, so

$\text{Diameter}=2\times 5=10\ cm$