Question

y = - (x + 3)^2 + 5 Step 1: Identify the constants a, h, and k. O a = 0, h = 3, and k = 5 a = -1, b = 3, and k = 5 a = -1.b = -3. and k = -5 a.-1, b=-3 and k=5

Answer 1

We can express the equation of a parabola in the form:

`y=a(x-h)^2+k`

Let's identify the constants a,h and k for our case:

`y=-(x+3)^2+5`

As you can see, the term on the parentheses has a minus sign, which means that this term is being multiplied by a -1, hence:

a= -1

Inside the parentheses, there's a 3 that is being added to x instead of being subtracted, this means that h is -3, because x-(-3)=x+3

h= -3

And as we can see, 5 is added to the first term, then:

k=5