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i am 12 and the answer is:
The vertex is: -5/8, 7/8
X intercepts are: -3/8 AND -12 7/8
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I believe the following answers will be found correct:
y = 8x2 + 10x + 3 = (4x + 3)(2x + 1).
The x-intercepts occur at x = -¾ and x = -½.
The vertex occurs at x = -5/8, y = (-5/2 + 3)(-5/4 + 1) = (1/2)(-1/4) = -1/8;
that is, at (-5/8, -1/8).
The parabola is, of course, concave-upwards.
What else can I help you with?
How do you look at a graph and tell what the quadratic function i?
To determine the quadratic function from a graph, first identify the shape of the parabola, which can open upwards or downwards. Look for key features such as the vertex, x-intercepts (roots), and y-intercept. The standard form of a quadratic function is ( f(x) = ax^2 + bx + c ), where ( a ) indicates the direction of the opening. By using the vertex and intercepts, you can derive the coefficients to write the specific equation of the quadratic function.
How do you determine if the graph of a quadratic function has a min or max from its equation?
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
What is the name of the graph of a quadratic function?
The parabola
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
How are factors graphs and zeros of quadratic functions related?
The factors of a quadratic function are expressed in the form ( f(x) = a(x - r_1)(x - r_2) ), where ( r_1 ) and ( r_2 ) are the roots or zeros of the function. These zeros are the values of ( x ) for which the function equals zero, meaning they correspond to the points where the graph of the quadratic intersects the x-axis. Thus, the factors directly indicate the x-intercepts of the quadratic graph, highlighting the relationship between the algebraic and graphical representations of the function.
What do you call the graph of a quadratic function?
the graph of a quadratic function is a parabola. hope this helps xP
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
The graph of a quadratic function?
Yes. And the question is ...
How do you look at a graph and tell what the quadratic function i?
To determine the quadratic function from a graph, first identify the shape of the parabola, which can open upwards or downwards. Look for key features such as the vertex, x-intercepts (roots), and y-intercept. The standard form of a quadratic function is ( f(x) = ax^2 + bx + c ), where ( a ) indicates the direction of the opening. By using the vertex and intercepts, you can derive the coefficients to write the specific equation of the quadratic function.
How do you determine if the graph of a quadratic function has a min or max from its equation?
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
What is the name of the graph of a quadratic function?
The parabola
What describes the translation of the graph of y equals x2 to obtain the graph of y equals -x2 - 3?
No translation will invert a quadratic graph.
Is the graph of a quadratic function contains the point 0 0?
Some do and some don't. It's possible but not necessary.
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
How are factors graphs and zeros of quadratic functions related?
The factors of a quadratic function are expressed in the form ( f(x) = a(x - r_1)(x - r_2) ), where ( r_1 ) and ( r_2 ) are the roots or zeros of the function. These zeros are the values of ( x ) for which the function equals zero, meaning they correspond to the points where the graph of the quadratic intersects the x-axis. Thus, the factors directly indicate the x-intercepts of the quadratic graph, highlighting the relationship between the algebraic and graphical representations of the function.
Does the graph of every quadratic function have a y-intercept?
Yes.
What makes a function have a graph that is quadratic?
That the function is a quadratic expression.
