Quadratic Relations

Consider the equation $y=2x^2$`y`=2`x`2.

a

Is every value of $y$`y` positive?

No

A

Yes

B

b

The graph of $y=2x^2$`y`=2`x`2 is given below.

Loading Graph...

State the axis of symmetry of the parabola.

c

What is the minimum value of $y$`y`?

$y$`y`$=$=$\editable{}$

Easy

Less than a minute

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

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

Consider the curve $y=2x^2-3$`y`=2`x`2−3.

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Solve problems arising from a realistic situation represented by a graph or an equation of a quadratic relation, with and without the use of technology