The variables are different..................................

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The variables are different..................................

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f(x) = ax² + bx + c

Convert to y = ax² + bx + c

x² - 12y + 5 = 0

x² + 5 = 12y

12y = x² + 5

12y/12 = x²/12 + 5/12

y =

Use this method when b = 0 in equation ax² + bx + c = 0.

x² + 5 = 0

x² = -5

x₁ =

x₂ =

It means that the equation has no real roots, and the graph (parabola) that opens upward is above the x-axis.

B.) Find the vertex of the parabola.

Since the equation has a positive leading leading term (), the parabola opens upward (u-shaped), and the vertex is the minimum.

h =

h =

k = f(h)

Plug -in the value of h (0) to x in equation

k =

k = 0 + ⁵/₁₂

Vertex = (h, k)

Please click image to see the graph of the given equation.