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Challenges
(21E) Graphs of Quadratic Functions in the form $f\left(x\right)=\left(x-h\right)^2+k$
Graph the following functions on the grid above.
$f\left(x\right)=x^2$
$g\left(x\right)=x^2+1$
$h\left(x\right)=x^2+3$
$j\left(x\right)=x^2-2$
Write down the coordinates of the vertex and equation fo the axis of symmetry for each function.
vertex:
Check
vertex:
Check
vertex:
Check
vertex:
Check
axis of symmetry:
Check
axis of symmetry:
Check
axis of symmetry:
Check
axis of symmetry:
Check
Graph the following functions on the grid above.
$p\left(x\right)=x^2$
$q\left(x\right)=\left(x+1\right)^2$
$r\left(x\right)=\left(x+3\right)^2$
$s\left(x\right)=\left(x-2\right)^2$
Write down the coordinates of the vertex and equation fo the axis of symmetry for each function.
vertex:
Check
vertex:
Check
vertex:
Check
vertex:
Check
axis of symmetry:
Check
axis of symmetry:
Check
axis of symmetry:
Check
axis of symmetry:
Check
Graph the following functions on the grid above.
$t\left(x\right)=\left(x+1\right)^2+3$
$u\left(x\right)=\left(x+3\right)^2-5$
$v\left(x\right)=\left(x-2\right)^2+4$
$w\left(x\right)=\left(x-6\right)^2-1$
Write down the coordinates of the vertex and equation fo the axis of symmetry for each function.
vertex:
Check
vertex:
Check
vertex:
Check
vertex:
Check
axis of symmetry:
Check
axis of symmetry:
Check
axis of symmetry:
Check
axis of symmetry:
Check