The relationship between the amount of tomato sauce and tomato paste needed for a pasta sauce recipe is shown in the following g
raph. which statement of the graph is true choose all answers that apply
a) the point (8,4) shows that 8 cups of tomato sauce are needed to serve 4 people
b) the recipe always requires the same amount of tomato paste as tomato sauce
c) none of the above
gl>:)
a) the point (8,4) shows that 8 cups of tomato sauce are needed to serve 4 people
b) the recipe always requires the same amount of tomato paste as tomato sauce
c) none of the above
gl>:)
2 answers:
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Answer:
<u>y = -x² + 4</u>
Step-by-step explanation:
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 0,4 )
So, h = 0 , k = 4
∴ y = a (x-0)² + 4
∴ y = a x² + 4
The parabola passes through points ( 2,0 )
∴ 0 = a 2² + 4
∴ 4 a = -4 ⇒ a = -4/4 = -1
∴ y = -x² + 4
So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>
See the attached figure.
