N28)The graph of the parabola with equationy=8x-x^2is shown opposite.a) By factorisin8x-x^2 , find the roots of the equation 8x-x^2=02b)S State the equation of the axis of symmetry of the parabola.1O Ac)Find the coordinates of the turning point.2 相关知识点: 试题来源: 解...
The following article is fromThe Great Soviet Encyclopedia(1979). It might be outdated or ideologically biased. Parabolograph an instrument for drawing plane curves of the second order—parabolas. Its operation is based on plotting the points of the parabola in a rectangular coordinate system. Figu...
equation above to see that there would be no x-interceptsfor this problem.An alternate method would be to do the following analysis.From the first step we found that the vertex was(0,7),which is above the x-axis,and we also notedthat the parabola opened upwards.So,the parabola starts ...
In Graph 3, what is the equation of the axis of symmetry? Graph 3 It is the linex=−1 Axis of Symmetry Formula There are two different formulas that you can use to find the axis of symmetry. One formula works when the parabola's equation is invertex formand the other works when ...
It may also be the case that the graph of a parabola intercepts the x-axis on one point or doesn't intercept it. How to find the y-intercept in a parabola? A quadratic equation of the form y = ax^2 + bx + c intercepts the y-axis at (0, c). To verify this, simply plug x...
Equation of parabola:The general equation of a parabola is y=a(x−h)2+k, where (h,k) is the vertex of the parabola.In the topic of parabola, the concept of focus, focal chord, focal distance, eccentricity, latus rectum, and directrix can be learned. The value of eccentricity ...
Step 3: Identify the x-intercepts of the function by setting y=0 and solving for the values of x that satisfy the equation. Step 4: Plot the vertex and the x-coordinates and connect the points in a parabolic shape. What is a Parabola and a Graph o...
The graph of the equation above forms a parabola in the xy-plane. If c is a positive constant, which of the following is an equivalent form of the equation? ( ) A. y=(c-x)^2 B. y=(c-x)(c+x) C. y=(2-x)(2+x) D. y=(√c-x)(√c+x)...
How To: Given a graph of a quadratic function, write the equation of the function in general form. Identify the horizontal shift of the parabola; this value is h. Identify the vertical shift of the parabola; this value is k. Substitute the values of the hor...
Question: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. {eq}4x^2+3y^2+8x-24y+51=0 {/eq} Quadratic Equation: If in a quadratic equation of two variables, the quadratic variables have the same...