How do you find the Y intercept of a quadratic function?
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Zoe Reed
Studied at the University of Johannesburg, Lives in Johannesburg, South Africa.
As an expert in the field of mathematics, I can help you understand how to find the Y-intercept of a quadratic function. A quadratic function is generally represented by the standard form \( ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants, and \( a \neq 0 \).
The Y-intercept of a function is the point where the graph of the function intersects the Y-axis. Since the Y-axis is defined by the line \( x = 0 \), to find the Y-intercept, you simply substitute \( x = 0 \) into the quadratic equation.
Here's the step-by-step process to find the Y-intercept:
1. Write down the quadratic function in the form \( ax^2 + bx + c \).
2. Set \( x = 0 \) since you're looking for the point where the graph intersects the Y-axis.
3. Substitute \( x = 0 \) into the equation and solve for \( y \) (or \( c \) if the equation is already solved for \( y \)).
The result will give you the Y-intercept in the form \( (0, c) \), where \( c \) is the value of the constant term in the quadratic function.
The Y-intercept of a function is the point where the graph of the function intersects the Y-axis. Since the Y-axis is defined by the line \( x = 0 \), to find the Y-intercept, you simply substitute \( x = 0 \) into the quadratic equation.
Here's the step-by-step process to find the Y-intercept:
1. Write down the quadratic function in the form \( ax^2 + bx + c \).
2. Set \( x = 0 \) since you're looking for the point where the graph intersects the Y-axis.
3. Substitute \( x = 0 \) into the equation and solve for \( y \) (or \( c \) if the equation is already solved for \( y \)).
The result will give you the Y-intercept in the form \( (0, c) \), where \( c \) is the value of the constant term in the quadratic function.
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Studied at University of California, Los Angeles (UCLA), Lives in Los Angeles, CA
To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form). Step 4: Graph the parabola using the points found in steps 1 �C 3.
2023-04-17 08:03:58
Amelia Roberts
QuesHub.com delivers expert answers and knowledge to you.
To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form). Step 4: Graph the parabola using the points found in steps 1 �C 3.
