Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE.) y = 4x2 + 17x + 15 (x, y)  =  (  ) (smaller x-value) (x, y)  =  (  ) (larger x-value)

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: Find an equation of the parabola with vertex (5,-5) and directrix y=-3   .

A:

Q: Find the equation of the parabola with V(-2,-3) and a directrex y=-7

A:

Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: Obtain the graph of the parabola y = -x? + 4x using transformations of the graph of y = x². Explain…

A: Given,  y=x2To Obtain: y=-x2+4x using transformation

Q: (z – #1)² (y – yn)² 1 to find the y-values to the nearest integer from the given z and y-values in…

A: We have to find out y value

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

A:

Q: Point A(2; 3) is the intersection point of the asymptotes of the hyperbola, а h(x) = x - P A(2:31|

A: To find : The equation of the parabola , p(x)

Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: The equation for a parabola has the form y = ☛² + bx+c, where a, b, and care constants and a 0. Find…

A: Given that the equation of the parabola is of the form y=ax2+bx+c. Find an equation of the parabola…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O…

A: The given equation of the parabola is: y=3x2+3x-6  To identify the x and y-intercept(s) for the…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.