Common-Core/ Grade 10
Maths MCQ Based On Use properties to write equations of parabolas in vertex form
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Common-Core Grade 10 - 10 Use properties to write equations of parabolas in vertex form
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\\((h,k)=(0,-1)\\text{ and } (x,y)=(12,11)\\), put in standard equation of parabola find the equation.
Use properties of parabola.
Use properties of parabola.
\\(\\text{The vertex form of a parabola that opens up or down is y = a ( x – h ) 2 + k . The vertex is ( h , k ) . If a > 0 , the parabola opens up. If a < 0 , the parabola opens down.}\\)
Use properties of parabola.
Use properties of parabola.
\\(\\text{The equation of the parabola in vertex form is: }y=a(x-h)^{2}+ k\\) \\((0,-3 )\\text{ is same as (h,k)}\\) \\(\\text{c is the distance between the vertex and focus ,thus c = 5.We will use c to find a.}\\) \\(c=\\frac{1}{4\\left| a \\right|}\\Longrightarrow 5\\times 4\\left| a \\right|=1\\Rightarrow \\left| a \\right|= \\frac{1}{20}\\Rightarrow a=\\pm \\frac{1}{20}\\)
Use properties of a parabola.
Use properties of parabola.
Use properties of parabola.
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