Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Find the y-intercept of the following function
f(x) = - x² – 2x + 3

hint Hint:

For a quadratic function is in standard form, f(x)=ax2+bx+c.
The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x=0.

The correct answer is: 3

We have given a function
f(x) = x² – 2x + 3
We will compare the given equation with the standard equation f(x)=ax²+bx+c.
We know that for y intercept , x = 0
So, for finding y- intercept
f(x) = y = (0)²– 2(0) + 3
y = 3
On comparing with the standard form y-intercept is equal to c
y-intercept of given quadratic function is 3.

Related Questions to study

Find the y-intercept of the following function
f(x) = 3x² + 6x + 5

Find the y-intercept of the following function
f(x) = 3x² + 6x + 5

Find the y-intercept of the following function
f(x) = -2x² – 8x – 7

Find the y-intercept of the following function
f(x) = -2x² – 8x – 7

Find the y-intercept of the following function
f(x) = 0.3x² + 0.6x – 0.7

Find the y-intercept of the following function
f(x) = 0.3x² + 0.6x – 0.7

parallel

Find the y-intercept of the following function
f(x) = 2x² – 4x – 6

Find the y-intercept of the following function
f(x) = 2x² – 4x – 6

Points (2, -1), (-2, 7), (1, -2), (0, -1) and (4, 7) lie on graph of a quadratic function
1.Find axis of symmetry of graph
2.Find the vertex
3.Find the y-intercept
4.Over what interval does the function increase

Points (2, -1), (-2, 7), (1, -2), (0, -1) and (4, 7) lie on graph of a quadratic function
1.Find axis of symmetry of graph
2.Find the vertex
3.Find the y-intercept
4.Over what interval does the function increase

Estimate the coordinates of the vertex of the graph of f(x) = 1.25x² -2x -1 below. Then explain how to find the exact coordinates

Estimate the coordinates of the vertex of the graph of f(x) = 1.25x² -2x -1 below. Then explain how to find the exact coordinates

parallel

To identify the y-intercept of quadratic function, would you choose to use vertex form or standard form? Explain

To identify the y-intercept of quadratic function, would you choose to use vertex form or standard form? Explain

A water balloon is tossed into the air. The function h(x) = -0.5(x-4)² + 9 gives the height, in feet, of the balloon from the surface of a pool as a function of the balloon’s horizontal distance from where it was first tossed. Will the balloon hit the ceiling 12 ft above the pool? Explain

A water balloon is tossed into the air. The function h(x) = -0.5(x-4)² + 9 gives the height, in feet, of the balloon from the surface of a pool as a function of the balloon’s horizontal distance from where it was first tossed. Will the balloon hit the ceiling 12 ft above the pool? Explain

Sage began graphing f(x) = -2x² + 4x + 9 by finding the axis of symmetry x = -1. Explain the error Sage made?

Sage began graphing f(x) = -2x² + 4x + 9 by finding the axis of symmetry x = -1. Explain the error Sage made?

parallel

How are the form and graph of f(x) = ax² + bx + c similar to the form and graph of g(x) = ax² + bx? How are they different?

How are the form and graph of f(x) = ax² + bx + c similar to the form and graph of g(x) = ax² + bx? How are they different?

How is the standard form of a quadratic function different from vertex form?

How is the standard form of a quadratic function different from vertex form?

Suppose the path of the ball in above figure is f(x) = -0.25(x-1)² + 6.25. Find the ball’s initial and maximum heights.

Suppose the path of the ball in above figure is f(x) = -0.25(x-1)² + 6.25. Find the ball’s initial and maximum heights.

parallel

Mia tosses a a ball to her dog. The function -0.5(x-2)² + 8 represents the ball path.

Mia tosses a a ball to her dog. The function -0.5(x-2)² + 8 represents the ball path.

The trajectory of the water from Fountain A is represented by a function in standard form while the trajectory of the water from Fountain B is represented by table of values. Compare the vertex of each function. Which trajectory reached greatest height in feet?

The trajectory of the water from Fountain A is represented by a function in standard form while the trajectory of the water from Fountain B is represented by table of values. Compare the vertex of each function. Which trajectory reached greatest height in feet?

Graph f(x) = 0.25x² – 0.5x - 6. What are axis of symmetry, vertex and y-intercept of the function

Graph f(x) = 0.25x² – 0.5x - 6. What are axis of symmetry, vertex and y-intercept of the function

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.