Use factoring and completing the square to reveal zeros, extrema, and symmetry of quadratics.
Match quadratic forms to directly visible features
Problem
Analyze the equivalent forms \(2x^{2}+8x+6\), \(2(x+1)(x+3)\), and \(2(x+2)^{2}-2\). From standard form read the \(y\text{-}\text{intercept}\) and leading coefficient, from factored form read the zeros, and from vertex form read the vertex, axis, and extremum; then state the shared opening direction.
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