Tyler Elliott
12/12/2023 · Junior High School

5. Express \( -2 x^{2}+6 x+8 \) in the form \( a(x-p)^{2}+4 \), and hence wite down the turning point. 6. solve for \( x \) and \( y \) if \( 2 x+3 y+1-0 \) and \( 2 x^{2}+3 x+2 y^{2}=4 \) 7. The equation of log \( y \) against \( x \) is a straight line with the gredient 2 that passes through the point \( (0,3) \). The variables \( x \) and \( y \) are related by the equation \( y=a b^{2} \), where \( a \) and \( b \). Find the values of \( a \) and \( b \).

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5. Turning point: \( \left(\frac{3}{2}, \frac{25}{2}\right) \) 6. Solve for \( x \) and \( y \) using the quadratic formula and substituting back. 7. \( a = 1000 \), \( b = 100 \)

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