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3 years ago

why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)

Mathematics

1 answer:

GaryK [48]3 years ago

5 0

<h3>Answer:</h3>

f(x) = -(x -2)² +3

<h3>Step-by-step explanation:</h3>

We can fill in the vertex (h, k) values immediately in the vertex form ...

... f(x) = a(x -h)² +k

To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

... -1 = a(0 -2)² +3

... -4 = 4a . . . . . . . . . subtract 3, simplify

... -1 = a . . . . . . . . . . . divide by 4

Now, we know the function is ...

... f(x) = -(x -2)² +3

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In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Aft

timurjin [86]

Grace weighed 167 pounds before she started her exercise program.

Step-by-step explanation:

Given,

Weight lost by Grace = 45 pounds

Weight of Grace after exercise weeks = 122 pounds

Let,

x represents the weight of Grace before she started the exercise program.

Loss means subtraction, therefore,

We will subtract the lost weight from original weight.

Original weight - Weight lost = Weight after exercise weeks

$x-45=122$

Adding 45 on both sides

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Grace weighed 167 pounds before she started her exercise program.

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4 years ago

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Aleksandr [31]

Step-by-step explanation:

A =nr²

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=3.14 × 40

= 125.6yd²

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3 years ago

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48.7 to one significant figure

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Evaluate in 5.<br> A.) 0.62<br> B.) 0.70<br> C.) 1.61<br> D.) 1.95

Len [333]

Answer:

<u><em>option C) 1.61</em></u>

Step-by-step explanation:

The question is to evaluate the natural logarithm of 5. Natural logarithms are logarithms with base <em>e</em>.

<em>e</em> is the irrational number equal to 2.71828182845904523536028747 ... (being irrational the decimals do not end and do not have a repetition period).

Logarithms are evaluated using tables or scientific calculators.

ln (5) = 1.6094379... it is also an irrational number, so it has infinite decimals with no repetition period.

So, rounding to two decimal numbers, ln (5) = 1.61, which is the option C).

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3 years ago