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y = -x^2 + x + 12
You can start by taking out the - as a common factor
y = -(x^2-x-12)
Then factorise it
y = -(x-4)(x+3)
To find the x-intercept, y = 0
0 = -(x-4)(x+3)
So either x-4 = 0 or x+3 = 0
When x-4 = 0, x =4
When x+3 = 0, x=-3
So the x-intercepts are -3,4
When x=0, we can find the y-intercept
Use the first equation: y = -x^2 + x + 12
y-intercept =12
So we know three intercept points, which in co-ordinate form are;
(-3,0), (4,0) and (0,12)
Also, we know that because it is -x^2, the parabola will be upside down because it is a reflection of x^2.
What else can I help you with?
What quadratic function would be used to solve -2x2 plus 9x equals 12?
-2x2 + 9x - 12 = 0Then apply the quadratic formula.
What is y equals 3x?
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
What does a graph with a quadratic relationship look like?
Like a parabola. Not "like": it would be.
Is a square root function the inverse function of a quadratic function?
Yes, the square root function is considered the inverse of a quadratic function, but only when the quadratic function is restricted to a specific domain. For example, the function ( f(x) = x^2 ) is a quadratic function, and its inverse, ( f^{-1}(x) = \sqrt{x} ), applies when ( x ) is non-negative (i.e., restricting the domain of the quadratic to ( x \geq 0 )). Without this restriction, the inverse would not be a function since a single output from the quadratic can correspond to two inputs.
When you graph Y equals negative one would it be a function?
Yes and it will be a straight line intercepting y at -1 and parallel to the x axis
What quadratic function would be used to solve -2x2 plus 9x equals 12?
-2x2 + 9x - 12 = 0Then apply the quadratic formula.
What part of speech is quadratic function?
A quadratic function is a noun. The plural form would be quadratic functions.
If the discriminant is negative the graph of the quadratic function will cross or touch the x-axis how many times?
It would not touch or intersect the x-axis at all.
What is y equals 3x?
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
What part of speech is function?
A quadratic function is a noun. The plural form would be quadratic functions.
What is the difference between a linear function and a quadratic equation?
A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.
What does a graph with a quadratic relationship look like?
Like a parabola. Not "like": it would be.
Is a square root function the inverse function of a quadratic function?
Yes, the square root function is considered the inverse of a quadratic function, but only when the quadratic function is restricted to a specific domain. For example, the function ( f(x) = x^2 ) is a quadratic function, and its inverse, ( f^{-1}(x) = \sqrt{x} ), applies when ( x ) is non-negative (i.e., restricting the domain of the quadratic to ( x \geq 0 )). Without this restriction, the inverse would not be a function since a single output from the quadratic can correspond to two inputs.
What is y equals x2 plus 2x plus 1 on a graph?
Interpreting that function as y=x2+2x+1, the graph of this function would be a parabola that opens upward. It would be equivalent to y=(x+1)2. Its vertex would be at (-1,0) and this vertex would be the parabola's only zero.
What will happen if y equals x plus 2 was changed to y equals x-1 what will the graph of the new function compare with the first one?
It would be less steep
What is the range of quadratic function?
The range of a function when you consider a graph is how high and how low it goes. A quadratic function is usually an arch that goes up to a high point and then back down like the arch of a kicked ball. Or, it can be the reverse which goes down and then up in a mirror image of a kicked ball. The range is what y values would be needed to show ALL the graph. Example; y=x^2+5x-6 The graph crosses the x axis at -5 and 1 it goes down then back up. The range is from infinity down to -49/4
When you graph Y equals negative one would it be a function?
Yes and it will be a straight line intercepting y at -1 and parallel to the x axis
