0

# What is y equals 2x2 plus 5x-3?

Updated: 10/18/2022

Wiki User

12y ago

It is the equation of a quadratic function that happens to factor very nicely:

y = 2x2 + 5x - 3 = (x + 3)(2x - 1).

When the product of two numbers equals zero, then one or other of them must equal zero.

Therefore, when y = 0, one of the two factors must also equal zero:

Hence, either x = -3 or x = ½, when y = 0.

This implies that the graph of this function crosses the x-axis at two places: namely, at (0,-3) and at (0,½).

As the graph of every quadratic function is a parabola, its axis of symmetry is the vertical line passing through the point on the x-axis that is mid-way betwixt the two points named above, where the function crosses the x-axis: namely, at (0,-1¼).

To find the vertex of the above parabola, we solve for y where x = -1¼:

y = (x + 3)(2x - 1)

= (-1¼ + 3)(-1¼ - 1)

= (1¾)(-2¼)

= (7/4)(-9/4) = 63/16 = 3 15/16

-3;

hence, the vertex is located at the point, (-1¼,315/16).

Wiki User

12y ago

Earn +20 pts
Q: What is y equals 2x2 plus 5x-3?
Submit
Still have questions?
Related questions

No.

### Is y equals 5x3 plus 6 linear?

y = 5x3 + 6 is a cubic equation, not a linear equation. Linear equations contain only terms of degree 0 (i.e. constants) and terms of degree 1.

### What are the roots of the quadratic equation y equals 2x2 plus 3x-20?

2x2 + 3x - 20 = (x + 4)(2x - 5).

no

### What is the minimum value of the equation y equals 2x2 plus 5?

y=2x2+5. Plug in 0 for x, and you get y=2(0)^2 +5 =0+5=5. 5 is the minimum value for y.

### What is y equals 5x3 plus 5?

y = 5x3 + 5 is a cubic equation. You cannot solve for x (or y), because there are two variables and only one equation. If you graph this, however, you will see a curve that passes through all possible points that make this equality true.

### Y equals 2x plus 5 is a linear equation because?

There are no powers e.g 2x2 would be due to the 2

### How do you write y equals 2xsquared plus 4x-7 in function notation?

f(x) = 2x2 + 4x - 7

### How many x intercepts are in y equals 2x2 plus 4x plus 3?

None because the discriminant of this quadratic equation is less than zero.

### What is the graph of the equation 2x2-6x plus 2y plus 18 equals 0?

2x2-6x+2y+18 = 0. Subtract the 2y from both sides. 2x2-6x+18 = -2y. Divide all by -2 to get y by itself. -x2+3x-9 = y. This graph is going to be a parabola that opens downward, like a frown.

### What is the length of the line that spans the parabolas of y equals 4x squared -2x -1 and y equals -2x squared plus 3x plus 5?

If: y = 4x2-2x-1 and y = -2x2+3x+5 Then the length of the line works out as: 65/18 or 3.6111 ... recurring decimal 1