The function h(x)=1/2(x+3)^2+2. how is the graph of h(x) translated from the parent graph of a quadratic function, f(x)=x^2? select all that apply. a. the graph of h(x) is shifted 3 units to the right of the parent graph. b. the graph of h(x) is shifted 2 units up from the parent graph. c. the graph of h(x) is vertically compressed by a factor of 1/2 d. the graph of h(x) is a reflection of the parent graph. e. the graph of h(x) has a different y-intercept from the parent graph. f. both graphs have two x intercepts.

B. The graph of h(x) is shifted 2 units up from the parent graph;  C. The graph of h(x) is vertically compressed by a factor of 1/2 ;   E. The graph of h(x) has a different y-intercept from the parent graph.

Step-by-step explanation:

Adding 3 to the variable x before the exponent is applied shifts the graph horizontally.  Since it is added, this means it is shifted 3 units to the left, not the right.

Adding 2 to the end of the function shifts the graph vertically.  Since it is added, it is shifted 2 units up.

Multiplying the function by 1/2 compresses it vertically by a factor of 1/2.

These graphs are not reflections, and neither graph has two x-intercepts.

The two graphs do have different y-intercepts.

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step-by-step explanation: