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2 years ago

The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent

Mathematics

2 answers:

goldenfox [79]2 years ago

8 0

Answer:

f(x) = (x − 1)2

Step-by-step explanation:

Lana71 [14]2 years ago

3 0

Answer:

Equation of function, y = (x-1)²

Step-by-step explanation:

The general formula of a parabola symmetric about x - axis is given by (x-h)²=4a(y-k), where (h,k) is the vertex.

Here (h, k) = (1,0)

So, we have (x-1)²=4a(y-0)

(x-1)²=4ay

One point on the parabola is (0,1) since y intercept is 1.

Substituting

(0-1)²=4 x a x 1

1 = 4 a

$a=\frac{1}{4}$

Equation of parabola,

$(x-1)^2=4*\frac{1}{4} *y\\ \\ (x-1)^2=y\\ \\ y=(x-1)^2$

Equation of function, y = (x-1)²

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Goshia [24]

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2 years ago

If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hour

snow_tiger [21]

Rachel and her sister Fran together can paint the living room in $\frac{10}{7}$ hours

Given that

Rachel can paint half of the living room in 1 hour

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By proportions,

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It means, Rachel and her sister Fran together can paint the living room in $\frac{10}{7}$ hours

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1 year ago

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Step-by-step explanation:

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