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Sagot :

Answer:

h is the horizontal translation

k is the vertical translation

a is the stretch parallel to the y-axis

Step-by-step explanation:

Parent equation:  [tex]y=x^2[/tex]

Translate [tex]h[/tex] units right:  [tex]y=(x-h)^2[/tex]

(if [tex]h < 0[/tex], then the translation is [tex]h[/tex] units left)

Stretched parallel to the y-axis by a factor of [tex]a[/tex]:  [tex]y=a(x-h)^2[/tex]

(if [tex]a < 0[/tex], the graph is also reflected in the x-axis)

Translated k units up:  [tex]y=a(x-h)^2+k[/tex]

(if [tex]k < 0[/tex] then the translation is k units down)

Example attached for [tex]y=2(x-3)^2+4[/tex]

View image semsee45
View image semsee45
View image semsee45
View image semsee45