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hichkok12 [17]
3 years ago
13

Which function represents a translation of the parent cubic function 8 units to the left? h(x) = x3 + 8 h(x) = x3 – 8 h(x) = (x

+ 8)3 h(x) = (x – 8)3
Mathematics
2 answers:
Irina-Kira [14]3 years ago
8 0

Answer:

h(x)=(x+8)3

Step-by-step explanation:

Ksju [112]3 years ago
7 0

Using the definition of the Vertical shifts of graphs of the function :

"Suppose c>0,

To graph y=f(x)+c, shift the graph of y=f(x) upward c units.

To graph y=f(x)-c, shift the graph of y=f(x) downward c units"

Again we recall the definition of Horizontal shifts of graphs:

" suppose c>0,

the graph y=f(x-c), shift the graph of y=f(x) to the right by c units

the graph y=f(x+c), shift the graph of y=f(x) to the left by c units. "

consider f(x)=x^3 is the parent function.

h(x)=x^3+8 shifts the graph f(x)=x^3 upward by 8 units

h(x)=x^3-8 shifts the graph f(x)=x^3downward by 8 units

h(x)=(x+8)^3 shifts the graph f(x)=x^3 left by 8 units

h(x)=(x-8)^3 shifts the graph f(x)=x^3 right by 8 units.

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