Mathematics, 20.09.2019 11:30 Weser17

Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. select all that apply.
the quadratic function, y = x2, has an x-intercept at the origin
the quadratic function, y = x2 + 3, has an x-intercept at the origin
from x = -2 to x = 0, the average rate of change for both functions is positive
from x = -2 to x = 0, the average rate of change for both functions is negative
for the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function.
for the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

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Answer from: PlzHelpMeOutKam3919

The quadratic function, $y=x^{2}$ , has an x-intercept at the origin

From x = -2 to x = 0 , the average rate of change for both functions is negative

For the quadratic function, $y=x^{2}+3$ , the coordinate (2, 7) is a solution to the equation of the function

Step-by-step explanation:

we have the quadratic functions

$y=x^{2}$

$y=x^{2}+3$

Verify each statement

case A) The quadratic function, $y=x^{2}$ , has an x-intercept at the origin

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The point (0,0) represent and x-intercept and a y-intercept

therefore

The statement is True

case B) The quadratic function, $y=x^{2}+3$ , has an x-intercept at the origin

The quadratic function, $y=x^{2}+3$ has no x-intercept

The statement is False

case C) From x = -2 to x = 0 , the average rate of change for both functions is positive

Observing the graph from x = -2 to x = 0 , the average rate of change for both functions is negative

The statement is False

case D) From x = -2 to x = 0 , the average rate of change for both functions is negative

The statement is True

case E) For the quadratic function, $y=x^{2}$ , the coordinate (2, 3) is a solution to the equation of the function

we know that

If a ordered pair is a solution of the quadratic function

then

the ordered pair must be satisfy the quadratic equation

Substitute the value of x and the value of y in the quadratic function and then compare

$3=2^{2}$

3=4 ------> is not true

The ordered pair is not a solution

The statement is False

case F) For the quadratic function, $y=x^{2}+3$ , the coordinate (2, 7) is a solution to the equation of the function

we know that

If a ordered pair is a solution of the quadratic function

then

the ordered pair must be satisfy the quadratic equation

Substitute the value of x and the value of y in the quadratic function and then compare

$7=2^{2}+3$

7=7 ------> is true

The ordered pair is a solution

The statement is True

Answer from: Quest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Answer from: Quest

answer: 20

step-by-step explanation: