BackClose

Select a Subject

Subject Test Math 2

Question 10 of 28

beginning of content:
Tags:
SAT Subject Test

Suppose the graph of f left parenthesis x right parenthesis equals negative x to the power of 2 end exponent is translated 3 units left and 1 unit up. If the resulting graph represents g left parenthesis x right parenthesis, what is the value of g left parenthesis negative 1.6 right parenthesis?

Select an Answer

2.96

Correct Answer: 
No

negative 0.96

Correct Answer: 
Yes

negative 1.56

Correct Answer: 
No

negative 1.96

Correct Answer: 
No

negative 2.56

Correct Answer: 
No

It may be helpful to draw a graph of f and g.

The graph shows two parabolas in the x y plane, one labeled y equals f of x and another labeled y equals g of x. The parabola labeled y equals f of x opens downward and its highest point is at the origin. The parabola labeled y equals g of x is identical to the parabola labeled y equals f of x except that its highest point is one unit above the x-axis and 3 units to the left of the y-axis.

The equation for g left parenthesis x right parenthesis is g left parenthesis x right parenthesis equals negative left parenthesis x plus 3 right parenthesis to the power of 2 end exponent plus 1. Therefore, g left parenthesis negative 1.6 right parenthesis equals negative left parenthesis negative 1.6 plus 3 right parenthesis to the power of 2 end exponent plus 1 equals negative 0.96. The correct answer is B.

Question Difficulty: 
medium