Express $y=5{{x}^{2}}-10x-8$ in form of $y=a{{\left( x-h \right)}^{2}}+k$ where $a$, \(h\

Question

Express $y=5{{x}^{2}}-10x-8$ in form of $y=a{{\left( x-h \right)}^{2}}+k$ where $a$, $h$ and $k$ are constants. Hence, state the maximum or minimum value of the graph the value of $x$ at which the maximum and minimum occurs Sketch the curve for $y=5{{x}^{2}}-10x-8$, indicating clearly the turning points and intercepts on the axes.

Accepted Answer

$y=5(x-1)^2-13$. (i) Minimum $-13$. (ii) $x=1$. (iii) Intercepts $(0,-8)$, $(1\pm\sqrt{65}/5,0)$; minimum point $(1,-13)$.

Quadratic Functions, Equations and Inequalities - Completing the Square and Vertex Form

Quadratic Functions, Equations and Inequalities - Completing the Square and Vertex Form

Video Solution:

Solution:

Solution locked