Respuesta :

herschelaimee86

Answer:

Here is the answer

Step-by-step explanation:

Brainlest me please

Ver imagen herschelaimee86

#a

Take one coordinate and solve

  • (-3,5)

So

  • y=x²-k
  • 5=(-3)²-k
  • 5=9-k
  • k=9-5
  • k=4

Take another

  • (-2,0)

So

  • y=x²-k
  • 0=(-2)²-k
  • 4-k=0
  • k=4

Hence k=4

#b

Graph attached

#c

Turn to vertex form

  • y=x²-4
  • y=(x-0)²-4

Compare to vertex form

  • y=a(x-h)²+k

So

  • Vertex(h,k)=(0,-4)

#d

At no intervals of x the graph decreases negatively

Because

  • a is positive (+1)
  • parabola is opening upwards

#d

  • y=4-k²
  • y=2²-k²
  • y=(2+k)(2-k)

So if y be 0

x intercepts are

  • (-2,0) and (2,0)

Zeros are

  • -2 and 2

Ver imagen Аноним