A function is shown f(x)=x^2+2x-1 which graph represents the function

Mathematics

1 answer:

Serhud [2]3 years ago

8 0

Answer:

Graph (2), top right.

Step-by-step explanation:

Given function is f(x) = x² + 2x - 1

f(x) = x² + 2x + 1 - 2

f(x) = (x + 1)² - 2

From this standard equation of a parabola,

Vertex → (-1, -2)

Axis of symmetry → x = (-1)

y-intercept → y = (-1)

Since coefficient of maximum degree term (x²) is positive so, parabola is opening upwards.

From the given choices, second option (top row right) is the answer.

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To make this a little clearer, let's give the pairs of inequalities the same denominator:

Question 1:
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First, apply the common denominator to the first fraction:
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Do the same for the second: $15( \frac{5}{7}) \\ \frac{5}{7}* \frac{15}{15} \\ \frac{5*15}{7*15} \\ \frac{75}{105}$
Nest, compare the two fractions:
$\frac{77}{105} \ \textgreater \ \frac{75}{105}$
Therefore:
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Question Two:
$\frac{5}{9}$ ? $\frac{7}{13}$
Apply the common denominator to fraction one:
$13( \frac{5}{9}) \\ \frac{5}{9} * \frac{13}{13} \\ \frac{5*13}{9*13} \\ \frac{65}{117}$
Fraction two:
$9(\frac{7}{13}) \\ \frac{7}{13} * \frac{9}{9} \\ \frac{7*9}{13*9} \\ \frac{63}{117}$
Evaluate:
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