Yes, solutions, roots, x-intercepts, and zeros are the same thing.
<h3>
What is a quadratic equation?</h3>
The general quadratic equation is given by:
a*x^2 + b*x + c = 0
So the solutions are the values of x such that the above thing is zero.
On another hand, a parabola or a quadratic function is given by:
a*x^2 + b*x + c = y
The roots, zeros, or x-intercepts (these represent the same thing) are given by:
a*x^2 + b*x + c = 0
- Zero or Root means that when you evaluate the function in that value the outcome is zero.
- X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.
So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.
Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.
If you want to learn more about quadratic functions, you can read:
brainly.com/question/1214333
Answer:
{5, 7, 9, 11}
Step-by-step explanation:
Roster form just means list the elements of the set in the brackets.
It says the elements are greater than or equal to five and less than or equal to 11. So we start at 5 and end at 11.
We list {5, 7, 9, 11} because these elements follow the rule that they must be odd natural numbers. Natural numbers are the numbers you can count starting from 0 like {0, 1, 2, 3, ...}.
Answer:
a. y = x + 3
Step-by-step explanation:
All three ordered pairs satisfy the first equation.
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If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...
(-1, 2), (0, 3), (1, 4)
That is, the y-values increase (by 1) as the x-values increase (by 1).
All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.
Answer:
indian ocean
Step-by-step explanation:
<h3>
Answer: x = 0</h3>
Work Shown:
y = -3x^2 - 12 is the same as y = -3x^2 + 0x + (-12)
Compare this to y = ax^2 + bx + c, and we'll find that
a = -3
b = 0
c = -12
Plug the 'a' and 'b' values into the formula below and simplify
h = -b/(2a)
h = -0/(2*(-3))
h = 0
The x coordinate of the vertex is x = 0, so the axis of symmetry is also x = 0.
The axis of symmetry lays perfectly on top of the y axis.
