2 Find, in the form $$ y=a x^{2}+b x+c $$, the equation of the quadratic whose graph: a touches the $$ x $$-axis at 4 and passes through $$ (2,12) $$ b has vertex $$ (-4,1) $$ and passes through $$ (1,11) $$

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Campbell Schneider · Accepted Answer

### a) La ecuación de la parábola que toca el eje $$ x $$ en $$ x = 4 $$ y pasa por $$ (2, 12) $$ es $$ y = 3x^2 - 24x + 48 $$. ### b) La ecuación de la parábola con vértice en $$ (-4, 1) $$ y que pasa por $$ (1, 11) $$ es $$ y = \frac{2}{5}x^2 + \frac{16}{5}x + \frac{37}{5} $$.

2 Find, in the form \( y=a x^{2}+b x+c \), the equation of the quadratic whose graph: a touches the \( x \)-axis at 4 and passes through \( (2,12) \) b has vertex \( (-4,1) \) and passes through \( (1,11) \)

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2 Find, in the form \( y=a x^{2}+b x+c \), the equation of the quadratic whose graph: a touches the \( x \)-axis at 4 and passes through \( (2,12) \) b has vertex \( (-4,1) \) and passes through \( (1,11) \)

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