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Graph your problem using the following steps: Type in your equation like y=2x+1 (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph!
To graph it you will need three points a vertex, a point to the right of the vertex and a point to the left of the vertex. Note that y = x² +2x +1 = (x + 1)² = (x - (-1))² +0.
To graph the function y=x2+2x+1, we can start by understanding the nature of the function. This is a quadratic equation in the form ax2+bx+c, where a=1, b=2, and c=1.
To graph the function , let's go through the steps to understand its shape, important points, and how it behaves on a graph: 1. Identify the Type of Function: - The given function is a quadratic function with the general form , where , , and . Quadratic functions graph as parabolas. 2. Determine the Vertex:
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The slope of a line containing the points P 1 (x 1, y 1) and P 2 (x 2, y 2) is given by Two lines are parallel if they have the same slope (m 1 = m 2). Two lines are perpendicular if the product of their slopes is - l (m 1 * m 2 = -1). The point-slope form of a line with slope m and passing through the point (x 1, y 1) is y - y 1 - m (x - x 1)
Draw a graph of zeroes of quadratic polynomial for an equation y =x2 +2x+1.
To graph the function y = x2 + 2x +1, first identify its vertex at (−1,0) and axis of symmetry at x = −1. Next, find additional points including the y-intercept (0,1), and plot these to form a parabola that opens upwards. Finally, smoothly connect the points to complete the graph.
Our free 2D graphing calculator (plotter) allows you to plot the graph of your equation online and also lets you save or print an image of your graph.
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Ready to learn how to find y intercept with 2 points? This guide will teach you everything you need to know about how to find the y-intercept of a line that passes through 2 given points. This guide includes a review section and multiple step-by-step practice problems for how to find y intercept with 2 points. Let's get started.
Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
To graph the function y = x2 + 2x + 1, let's go through the key steps: Identify the Function Type: This is a quadratic function. Quadratic functions have the general form y = ax2 + bx + c. For this specific function, a = 1, b = 2, and c = 1. Find the Vertex: The vertex of a parabola in the form y = ax2 + bx + c can be found using the formula x = −2ab . Substituting our values: x = −2× 12 ...
Plot the vertex (−1,0). Plot the y-intercept (0,1). Plot the additional points (−2,1) and (−3,4). Sketch the Parabola: First, mark the points on a graph paper or a coordinate system, then draw a smooth curve through these points to create the parabola. Remember, the parabola is symmetric about the axis x = −1.