What is the equation of the graph below?
y = − (x − 3)2 + 1
y = − (x + 1)2 + 4
y = (x + 1)2 − 4
y = (x − 4)2 + 1

The answer to your question is the first option   y = -(x - 3)² + 1    

Step-by-step explanation:

From the graph, we know that it is a vertical parabola with Vertex (3, 1) that opens downwards.

Equation                      (x - h)² = -4p(y - k)

Also from the graph we know that the parabola passes by (2, 0)

- Find p

                                   (2 - 3)² = -4p(0 - 1)

-Simplification

                                       (-1)² = -4p(-1)

                                         1 = 4p

-Result

                                         p = 1/4

- Equation of the parabola

                                 (x - 3)² = -4(1/4)(y - 1)

-Simplification

                                 -(x - 3)² = y - 1

-Solve for y

                                 y = -(x - 3)² + 1                  

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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