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Chapter 3: Q. 8 (page 155)

True or False The graph of f(x)=2x2+3x-4opens up.

Short Answer

Expert verified

The given statement is true.

Step by step solution

01

Step 1. Given information.

The given function is:

f(x)=2x2+3x-4

02

Step 2. Determine whether the given statement is true or false.

The graph of the function f(x)=ax2+bx+copens up if a>0and opens down if a<0.

In the given function f(x)=2x2+3x-4, a=2>0. So, the graph of the function opens up.

03

Step 3. Conclusion.

The given statement is true.

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Most popular questions from this chapter

If h(x)=-3x+4,then

a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant.

If f(x)=14x-3,then

(a) Determine the slope and y-intercept of each function.

(b) Use the slope and y-intercept to graph the linear function.

(c) Determine the average rate of change of each function.

(d) Determine whether the linear function is increasing, decreasing, or constant

In Problems 4 and 5, determine whether the function is linear or nonlinear. If the function is linear, find the equation of the line.

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=3x2+6x

Graph the function fby starting with the graph of y=x2and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write fin the form f(x)=a(x-h)2+k.

f(x)=3x2+6x
See all solutions

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