Question

Q16. W/12/P13/Q11 (i, ii) The diagram shows the curve with equation \( y=x(x-2)^{2} \). The minimum point on the curve has coordinates \( (a, 0) \) and the \( x \)-coordinate of the maximum point is \( b \), where \( a \) and \( b \) are constants. (i) State the value of \( a \). [1] (ii) Find the value of \( b \). [4]

          Q16. W/12/P13/Q11 (i, ii)

The diagram shows the curve with equation \( y=x(x-2)^{2} \). The minimum point on the curve has coordinates \( (a, 0) \) and the \( x \)-coordinate of the maximum point is \( b \), where \( a \) and \( b \) are constants.
(i) State the value of \( a \).
[1]
(ii) Find the value of \( b \).
[4]

Q16. W/12/P13/Q11 (i, ii)

The diagram shows the curve with equation y=x(x-2)^2. The minimum point on the curve has coordinates (a, 0) and the x-coordinate of the maximum point is b, where a and b are constants.
(i) State the value of a.
[1]
(ii) Find the value of b.
[4]

Added by Domingo D.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Joseph Randich

Step 1

Step 1: Identify the equation of the curve, which is given as \( y = x(x-2)^2 \). Show more…

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Q16. W/12/P13/Q11 (i, ii) The diagram shows the curve with equation \( y=x(x-2)^{2} \). The minimum point on the curve has coordinates \( (a, 0) \) and the \( x \)-coordinate of the maximum point is \( b \), where \( a \) and \( b \) are constants. (i) State the value of \( a \). [1] (ii) Find the value of \( b \). [4]