Quadratic Relations

Consider the parabola of the form $y=ax^2+bx+c$`y`=`a``x`2+`b``x`+`c`, where $a\ne0$`a`≠0

Fill in the gap to make the statement true.

The $x$`x`-coordinate of the vertex of the parabola occurs at $x=\editable{}$`x`=. The $y$`y`-coordinate of the vertex is found by substituting this $x$`x`-value into the parabola's equation and evaluating the function at this value of $x$`x`.

Easy

1min

What is the line $x=\frac{-b}{2a}$`x`=−`b`2`a` on the parabola defined by the equation $y=ax^2+bx+c$`y`=`a``x`2+`b``x`+`c` ($a\ne0$`a`≠0)?

Easy

< 1min

Consider the curve $y=x^2+6x+4$`y`=`x`2+6`x`+4.

Easy

3min

Consider the function $P\left(x\right)=x^2-4x+2$`P`(`x`)=`x`2−4`x`+2.

Easy

2min

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