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Chapter 3: Q. 104 (page 158)

What are the possibilities for the number of times the graphs of two different quadratic functions intersect?

Short Answer

Expert verified

Two parabolas intersect at $0, 1, 2$ points

Step by step solution

01

Given information

We are given 2 quadratic equation

02

Explanation

The two parabolas can intersect at none, one or two points.

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Most popular questions from this chapter

Determine the quadratic function whose graph is given.

Graph the function $f$ by starting with the graph of $y = x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write $f$ in the form $f (x) = a (x - h)^{2} + k$ .

$f (x) = x^{2} - 6 x - 1$

What is the domain of the function $f (x) = \sqrt{x - 3 x^{2}}$ ?

True or False If the average rate of change of a linear function is $\frac{2}{3}$ , then if $y$ increases by $3$ , $x$ will increase by $2$ .

Graph the function $f$ by starting with the graph of $y = x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection). Verify your results using a graphing utility.

Hint: If necessary, write $f$ in the form $f (x) = a (x - h)^{2} + k$ .

$f (x) = \frac{1}{2} x^{2} + x - 1$

See all solutions

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