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v1 Algebra, STD2 A4 2018 HSC 4 MC

Which graph best represents the equation  \(y = 2-x^2\) ?
 

A. B.
C. D.
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\(D\)

Show Worked Solution

\(y = 2-x^2\)

\(y\text{-intercept}\ = -2\ \ \text{(when}\ x = 0)\)

\(\text{Quadratic is concave down (sad) with vertex at}\ (0,2). \)

\(\Rightarrow A\)

Filed Under: Non-Linear: Exponential/Quadratics (Std 2-X) Tagged With: Band 3, num-title-ct-corea, num-title-qs-hsc, smc-4443-10-Identify graphs, smc-830-10-Identify Graphs

Algebra, STD2 A4 2020 HSC 1 MC

Which of the following could represent the graph of  `y = -x^2 + 1`?
 

 

 
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`C`

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♦ Mean mark 53%.
COMMENT: A surprisingly low State mean mark!

`=> C`

Filed Under: Non-Linear: Exponential/Quadratics (Std 2) Tagged With: Band 4, num-title-ct-coreb, num-title-qs-hsc, smc-4443-10-Identify graphs, smc-830-10-Identify Graphs

Algebra, STD2 A4 2018 HSC 4 MC

Which graph best represents the equation  `y = x^2-2`?
 

A. B.
C. D.
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`A`

Show Worked Solution

`y = x^2-2`

`ytext(-intercept) = -2\ \ \ (text(when) = 0)`

`text(Quadratic is positive with vertex at)\ \ y = -2`

`=>A`

Filed Under: Non-Linear: Exponential/Quadratics (Std 2), Quadratics Tagged With: Band 3, num-title-ct-corea, num-title-qs-hsc, smc-4443-10-Identify graphs, smc-830-10-Identify Graphs

Algebra, STD2 A4 2014 HSC 3 MC

The diagram shows the graph of an equation.
  

 Which of the following equations does the graph best represent?

  1. `y = 3/x + 1`
  2. `y = 3^x + 1`
  3. `y = 3x^2 + 1`
  4. `y = 3x^3 + 1`
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`C`

Show Worked Solution

`text(Graph is a parabola that passes through)\ (0, 1).`

`=>  C`

Filed Under: Exponential/Quadratic (Projectile), Exponentials, Non-Linear: Exponential/Quadratics (Std 2), Quadratics Tagged With: Band 4, num-title-ct-coreb, num-title-qs-hsc, smc-4443-10-Identify graphs, smc-4444-10-Identify graphs, smc-830-10-Identify Graphs

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