G03 · Cartesian Plane & FunctionsSTUDIO
y = x² · V(0, 0)SVG · PPTX · 1:1
G03 // Cartesian Plane & Functions
Parabola & Quadratic Function Graph y = ax² + bx + c
True smooth Bézier parabola graph for y = ax² + bx + c featuring vertex V, axis of symmetry, real roots, and y-intercept—fully editable in PowerPoint.
Key formulas & geometric relations
y = ax² + bx + c · V(−b / 2a, −Δ / 4a) · Δ = b² − 4ac
Pre-configured models ready to open or download (23)
Catalog →- Canonical Parabola at Origin (y = x²)y = x² · V(0, 0)
- Downward Opening Parabola (y = −x² + 4)y = −x² + 4 · V(0, 4)
- Parabola with Real Roots x = 1, 3 (y = x² − 4x + 3)y = x² − 4x + 3 · V(2, −1)
- Parabola Tangent to X-Axis (Δ = 0)y = 0.5x² − 2x + 2 · Δ = 0
- Wide Parabola with Focus & Directrix (y = 0.25x² − 3)y = 0.25x² − 3 · fuoco e direttrice
- Unlabeled Exam Parabola (y = x² · grafico muto)y = x² · grafico muto
- Unlabeled Exam Parabola (V(0,4) · deduci equazione)V(0,4) · deduci equazione
- Unlabeled Exam Parabola (V(2,-1), zeri 1 e 3 · muta)V(2,-1), zeri 1 e 3 · muta
- Unlabeled Exam Parabola (Δ = 0 tangente in (2,0) · muta)Δ = 0 tangente in (2,0) · muta
- Downward Canonical Parabola y = -x²y = -x² · V(0,0)
- Unlabeled Exam Graph: Downward Canonical Parabola y = -x²y = -x² · V(0,0) · senza equazione
- Symmetric Parabola y = x² - 4 (Roots ±2)y = x² - 4 · zeri ±2
- Unlabeled Exam Graph: Symmetric Parabola y = x² - 4 (Roots ±2)y = x² - 4 · zeri ±2 · senza equazione
- Downward Parabola y = -x² + 4x - 3 (Vertex (2, 1))y = -x² + 4x - 3 · V(2,1)
- Unlabeled Exam Graph: Downward Parabola y = -x² + 4x - 3 (Vertex (2, 1))y = -x² + 4x - 3 · V(2,1) · senza equazione
- Parabola with Negative Discriminant y = x² - 2x + 2 (Δ < 0)y = x² - 2x + 2 · Δ < 0
- Unlabeled Exam Graph: Parabola with Negative Discriminant y = x² - 2x + 2 (Δ < 0)y = x² - 2x + 2 · Δ < 0 · senza equazione
- Parabola Through Origin y = 2x² - 4xy = 2x² - 4x · per l'origine
- Unlabeled Exam Graph: Parabola Through Origin y = 2x² - 4xy = 2x² - 4x · per l'origine · senza equazione
- Parabola y = x² + 2x - 3 (Roots -3 and 1)y = x² + 2x - 3 · zeri -3 e 1
- Unlabeled Exam Graph: Parabola y = x² + 2x - 3 (Roots -3 and 1)y = x² + 2x - 3 · zeri -3 e 1 · senza equazione
- Projectile Trajectory Parabola y = -0.5x² + 2x + 2y = -0.5x² + 2x + 2 · V(2,4)
- Unlabeled Exam Graph: Projectile Trajectory Parabola y = -0.5x² + 2x + 2y = -0.5x² + 2x + 2 · V(2,4) · senza equazione